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Finding the Fourth Proportional to 15,744, 21,730.56 and 9,123.84

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Solution

The fourth proportional to 15,744, 21,730.56 and 9,123.84 is: 12,593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744 : 21,730.56 = 9,123.84 : x
  2. Step 2: Convert to fraction form
    15,744/21,730.56 = 9,123.84/x
  3. Step 3: Cross multiply
    15,744x = 21,730.56 × 9,123.84
  4. Step 4: Simplify right side
    15,744x = 198,266,152.55
  5. Step 5: Solve for x
    x = 198,266,152.55/15,744
  6. Step 6: Final answer
    x = 12,593.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.