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Finding the Fourth Proportional to 13,639.72, 20,432.86 and 7,070.24

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Solution

The fourth proportional to 13,639.72, 20,432.86 and 7,070.24 is: 10,591.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,639.72 : 20,432.86 = 7,070.24 : x
  2. Step 2: Convert to fraction form
    13,639.72/20,432.86 = 7,070.24/x
  3. Step 3: Cross multiply
    13,639.72x = 20,432.86 × 7,070.24
  4. Step 4: Simplify right side
    13,639.72x = 144,465,224.09
  5. Step 5: Solve for x
    x = 144,465,224.09/13,639.72
  6. Step 6: Final answer
    x = 10,591.51

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