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Finding the Fourth Proportional to 16,376.71, 24,547.55 and 8,471.26

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Solution

The fourth proportional to 16,376.71, 24,547.55 and 8,471.26 is: 12,697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,376.71 : 24,547.55 = 8,471.26 : x
  2. Step 2: Convert to fraction form
    16,376.71/24,547.55 = 8,471.26/x
  3. Step 3: Cross multiply
    16,376.71x = 24,547.55 × 8,471.26
  4. Step 4: Simplify right side
    16,376.71x = 207,948,767.93
  5. Step 5: Solve for x
    x = 207,948,767.93/16,376.71
  6. Step 6: Final answer
    x = 12,697.84

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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.