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Finding the Fourth Proportional to 15,404.70, 23,107.05 and 14,432.70

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Solution

The fourth proportional to 15,404.70, 23,107.05 and 14,432.70 is: 21,649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,404.70 : 23,107.05 = 14,432.70 : x
  2. Step 2: Convert to fraction form
    15,404.70/23,107.05 = 14,432.70/x
  3. Step 3: Cross multiply
    15,404.70x = 23,107.05 × 14,432.70
  4. Step 4: Simplify right side
    15,404.70x = 333,497,120.54
  5. Step 5: Solve for x
    x = 333,497,120.54/15,404.70
  6. Step 6: Final answer
    x = 21,649.05

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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.