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Finding the Fourth Proportional to 15,613.84, 21,542.76 and 9,323.92

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Solution

The fourth proportional to 15,613.84, 21,542.76 and 9,323.92 is: 12,864.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,613.84 : 21,542.76 = 9,323.92 : x
  2. Step 2: Convert to fraction form
    15,613.84/21,542.76 = 9,323.92/x
  3. Step 3: Cross multiply
    15,613.84x = 21,542.76 × 9,323.92
  4. Step 4: Simplify right side
    15,613.84x = 200,862,970.82
  5. Step 5: Solve for x
    x = 200,862,970.82/15,613.84
  6. Step 6: Final answer
    x = 12,864.42

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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.