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Finding the Fourth Proportional to 10,009.73, 14,998.10 and 3,432.30

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Solution

The fourth proportional to 10,009.73, 14,998.10 and 3,432.30 is: 5,142.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.73 : 14,998.10 = 3,432.30 : x
  2. Step 2: Convert to fraction form
    10,009.73/14,998.10 = 3,432.30/x
  3. Step 3: Cross multiply
    10,009.73x = 14,998.10 × 3,432.30
  4. Step 4: Simplify right side
    10,009.73x = 51,477,961.47
  5. Step 5: Solve for x
    x = 51,477,961.47/10,009.73
  6. Step 6: Final answer
    x = 5,142.79

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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.