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Finding the Fourth Proportional to 28,007.28, 38,650.32 and 15,432.30

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Solution

The fourth proportional to 28,007.28, 38,650.32 and 15,432.30 is: 21,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,007.28 : 38,650.32 = 15,432.30 : x
  2. Step 2: Convert to fraction form
    28,007.28/38,650.32 = 15,432.30/x
  3. Step 3: Cross multiply
    28,007.28x = 38,650.32 × 15,432.30
  4. Step 4: Simplify right side
    28,007.28x = 596,463,333.34
  5. Step 5: Solve for x
    x = 596,463,333.34/28,007.28
  6. Step 6: Final answer
    x = 21,296.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.