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Finding the Fourth Proportional to 10,677,049.30, 15,978,249.15 and 9,781,254.10

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Solution

The fourth proportional to 10,677,049.30, 15,978,249.15 and 9,781,254.10 is: 14,637,687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677,049.30 : 15,978,249.15 = 9,781,254.10 : x
  2. Step 2: Convert to fraction form
    10,677,049.30/15,978,249.15 = 9,781,254.10/x
  3. Step 3: Cross multiply
    10,677,049.30x = 15,978,249.15 × 9,781,254.10
  4. Step 4: Simplify right side
    10,677,049.30x = 156,287,315,009,259
  5. Step 5: Solve for x
    x = 156,287,315,009,259/10,677,049.30
  6. Step 6: Final answer
    x = 14,637,687.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.