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Finding the Fourth Proportional to 18,560.61, 27,834 and 8,032.17

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Solution

The fourth proportional to 18,560.61, 27,834 and 8,032.17 is: 12,045.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,560.61 : 27,834 = 8,032.17 : x
  2. Step 2: Convert to fraction form
    18,560.61/27,834 = 8,032.17/x
  3. Step 3: Cross multiply
    18,560.61x = 27,834 × 8,032.17
  4. Step 4: Simplify right side
    18,560.61x = 223,567,419.78
  5. Step 5: Solve for x
    x = 223,567,419.78/18,560.61
  6. Step 6: Final answer
    x = 12,045.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.