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Finding the Fourth Proportional to 10,915.68, 16,342.74 and 10,565.76

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Solution

The fourth proportional to 10,915.68, 16,342.74 and 10,565.76 is: 15,818.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.68 : 16,342.74 = 10,565.76 : x
  2. Step 2: Convert to fraction form
    10,915.68/16,342.74 = 10,565.76/x
  3. Step 3: Cross multiply
    10,915.68x = 16,342.74 × 10,565.76
  4. Step 4: Simplify right side
    10,915.68x = 172,673,468.58
  5. Step 5: Solve for x
    x = 172,673,468.58/10,915.68
  6. Step 6: Final answer
    x = 15,818.85

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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.