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Finding the Fourth Proportional to 15,711.84, 23,580.72 and 6,484.32

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Solution

The fourth proportional to 15,711.84, 23,580.72 and 6,484.32 is: 9,731.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.84 : 23,580.72 = 6,484.32 : x
  2. Step 2: Convert to fraction form
    15,711.84/23,580.72 = 6,484.32/x
  3. Step 3: Cross multiply
    15,711.84x = 23,580.72 × 6,484.32
  4. Step 4: Simplify right side
    15,711.84x = 152,904,934.31
  5. Step 5: Solve for x
    x = 152,904,934.31/15,711.84
  6. Step 6: Final answer
    x = 9,731.83

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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.