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Finding the Fourth Proportional to 22,693.12, 34,044.54 and 9,537.91

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Solution

The fourth proportional to 22,693.12, 34,044.54 and 9,537.91 is: 14,308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,693.12 : 34,044.54 = 9,537.91 : x
  2. Step 2: Convert to fraction form
    22,693.12/34,044.54 = 9,537.91/x
  3. Step 3: Cross multiply
    22,693.12x = 34,044.54 × 9,537.91
  4. Step 4: Simplify right side
    22,693.12x = 324,713,758.51
  5. Step 5: Solve for x
    x = 324,713,758.51/22,693.12
  6. Step 6: Final answer
    x = 14,308.91

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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.