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Finding the Fourth Proportional to 15,624, 21,560.56 and 9,335.12

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Solution

The fourth proportional to 15,624, 21,560.56 and 9,335.12 is: 12,882.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,624 : 21,560.56 = 9,335.12 : x
  2. Step 2: Convert to fraction form
    15,624/21,560.56 = 9,335.12/x
  3. Step 3: Cross multiply
    15,624x = 21,560.56 × 9,335.12
  4. Step 4: Simplify right side
    15,624x = 201,270,414.87
  5. Step 5: Solve for x
    x = 201,270,414.87/15,624
  6. Step 6: Final answer
    x = 12,882.13

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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.