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Finding the Fourth Proportional to 16,575.57, 22,874.58 and 9,502.02

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Solution

The fourth proportional to 16,575.57, 22,874.58 and 9,502.02 is: 13,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,575.57 : 22,874.58 = 9,502.02 : x
  2. Step 2: Convert to fraction form
    16,575.57/22,874.58 = 9,502.02/x
  3. Step 3: Cross multiply
    16,575.57x = 22,874.58 × 9,502.02
  4. Step 4: Simplify right side
    16,575.57x = 217,354,716.65
  5. Step 5: Solve for x
    x = 217,354,716.65/16,575.57
  6. Step 6: Final answer
    x = 13,112.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.