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Finding the Fourth Proportional to 16,575.36, 22,874.52 and 9,504

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Solution

The fourth proportional to 16,575.36, 22,874.52 and 9,504 is: 13,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,575.36 : 22,874.52 = 9,504 : x
  2. Step 2: Convert to fraction form
    16,575.36/22,874.52 = 9,504/x
  3. Step 3: Cross multiply
    16,575.36x = 22,874.52 × 9,504
  4. Step 4: Simplify right side
    16,575.36x = 217,399,438.08
  5. Step 5: Solve for x
    x = 217,399,438.08/16,575.36
  6. Step 6: Final answer
    x = 13,115.82

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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.