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Finding the Fourth Proportional to 23,789.34, 32,814.42 and 15,302.52

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Solution

The fourth proportional to 23,789.34, 32,814.42 and 15,302.52 is: 21,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,789.34 : 32,814.42 = 15,302.52 : x
  2. Step 2: Convert to fraction form
    23,789.34/32,814.42 = 15,302.52/x
  3. Step 3: Cross multiply
    23,789.34x = 32,814.42 × 15,302.52
  4. Step 4: Simplify right side
    23,789.34x = 502,143,318.34
  5. Step 5: Solve for x
    x = 502,143,318.34/23,789.34
  6. Step 6: Final answer
    x = 21,107.91

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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.