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Finding the Fourth Proportional to 21,672.46, 32,509.59 and 10,565.92

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Solution

The fourth proportional to 21,672.46, 32,509.59 and 10,565.92 is: 15,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,672.46 : 32,509.59 = 10,565.92 : x
  2. Step 2: Convert to fraction form
    21,672.46/32,509.59 = 10,565.92/x
  3. Step 3: Cross multiply
    21,672.46x = 32,509.59 × 10,565.92
  4. Step 4: Simplify right side
    21,672.46x = 343,493,727.17
  5. Step 5: Solve for x
    x = 343,493,727.17/21,672.46
  6. Step 6: Final answer
    x = 15,849.32

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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.