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Finding the Fourth Proportional to 16,575.48, 22,874.24 and 9,502.32

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Solution

The fourth proportional to 16,575.48, 22,874.24 and 9,502.32 is: 13,113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,575.48 : 22,874.24 = 9,502.32 : x
  2. Step 2: Convert to fraction form
    16,575.48/22,874.24 = 9,502.32/x
  3. Step 3: Cross multiply
    16,575.48x = 22,874.24 × 9,502.32
  4. Step 4: Simplify right side
    16,575.48x = 217,358,348.24
  5. Step 5: Solve for x
    x = 217,358,348.24/16,575.48
  6. Step 6: Final answer
    x = 13,113.25

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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.