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Finding the Fourth Proportional to 16,271.13, 24,410.13 and 9,254.50

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Solution

The fourth proportional to 16,271.13, 24,410.13 and 9,254.50 is: 13,883.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,271.13 : 24,410.13 = 9,254.50 : x
  2. Step 2: Convert to fraction form
    16,271.13/24,410.13 = 9,254.50/x
  3. Step 3: Cross multiply
    16,271.13x = 24,410.13 × 9,254.50
  4. Step 4: Simplify right side
    16,271.13x = 225,903,548.09
  5. Step 5: Solve for x
    x = 225,903,548.09/16,271.13
  6. Step 6: Final answer
    x = 13,883.70

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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.