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Finding the Fourth Proportional to 16,617.81, 24,909.62 and 7,256.08

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Solution

The fourth proportional to 16,617.81, 24,909.62 and 7,256.08 is: 10,876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,617.81 : 24,909.62 = 7,256.08 : x
  2. Step 2: Convert to fraction form
    16,617.81/24,909.62 = 7,256.08/x
  3. Step 3: Cross multiply
    16,617.81x = 24,909.62 × 7,256.08
  4. Step 4: Simplify right side
    16,617.81x = 180,746,096.94
  5. Step 5: Solve for x
    x = 180,746,096.94/16,617.81
  6. Step 6: Final answer
    x = 10,876.65

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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.