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Finding the Fourth Proportional to 23,402.25, 32,279.92 and 15,758.69

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Solution

The fourth proportional to 23,402.25, 32,279.92 and 15,758.69 is: 21,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,402.25 : 32,279.92 = 15,758.69 : x
  2. Step 2: Convert to fraction form
    23,402.25/32,279.92 = 15,758.69/x
  3. Step 3: Cross multiply
    23,402.25x = 32,279.92 × 15,758.69
  4. Step 4: Simplify right side
    23,402.25x = 508,689,051.71
  5. Step 5: Solve for x
    x = 508,689,051.71/23,402.25
  6. Step 6: Final answer
    x = 21,736.76

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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.