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Finding the Fourth Proportional to 15,853.47, 23,782.02 and 9,279.71

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Solution

The fourth proportional to 15,853.47, 23,782.02 and 9,279.71 is: 13,920.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.47 : 23,782.02 = 9,279.71 : x
  2. Step 2: Convert to fraction form
    15,853.47/23,782.02 = 9,279.71/x
  3. Step 3: Cross multiply
    15,853.47x = 23,782.02 × 9,279.71
  4. Step 4: Simplify right side
    15,853.47x = 220,690,248.81
  5. Step 5: Solve for x
    x = 220,690,248.81/15,853.47
  6. Step 6: Final answer
    x = 13,920.63

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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.