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Finding the Fourth Proportional to 22,789.53, 34,187.91 and 9,642

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Solution

The fourth proportional to 22,789.53, 34,187.91 and 9,642 is: 14,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,789.53 : 34,187.91 = 9,642 : x
  2. Step 2: Convert to fraction form
    22,789.53/34,187.91 = 9,642/x
  3. Step 3: Cross multiply
    22,789.53x = 34,187.91 × 9,642
  4. Step 4: Simplify right side
    22,789.53x = 329,639,828.22
  5. Step 5: Solve for x
    x = 329,639,828.22/22,789.53
  6. Step 6: Final answer
    x = 14,464.53

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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.