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Finding the Fourth Proportional to 16,117.71, 24,176.52 and 9,094.53

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Solution

The fourth proportional to 16,117.71, 24,176.52 and 9,094.53 is: 13,641.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,117.71 : 24,176.52 = 9,094.53 : x
  2. Step 2: Convert to fraction form
    16,117.71/24,176.52 = 9,094.53/x
  3. Step 3: Cross multiply
    16,117.71x = 24,176.52 × 9,094.53
  4. Step 4: Simplify right side
    16,117.71x = 219,874,086.44
  5. Step 5: Solve for x
    x = 219,874,086.44/16,117.71
  6. Step 6: Final answer
    x = 13,641.77

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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.