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Finding the Fourth Proportional to 17,665.96, 24,372.04 and 11,382

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Solution

The fourth proportional to 17,665.96, 24,372.04 and 11,382 is: 15,702.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.96 : 24,372.04 = 11,382 : x
  2. Step 2: Convert to fraction form
    17,665.96/24,372.04 = 11,382/x
  3. Step 3: Cross multiply
    17,665.96x = 24,372.04 × 11,382
  4. Step 4: Simplify right side
    17,665.96x = 277,402,559.28
  5. Step 5: Solve for x
    x = 277,402,559.28/17,665.96
  6. Step 6: Final answer
    x = 15,702.66

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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.