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Finding the Fourth Proportional to 17,660.38, 24,371.49 and 9,702.77

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Solution

The fourth proportional to 17,660.38, 24,371.49 and 9,702.77 is: 13,389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,660.38 : 24,371.49 = 9,702.77 : x
  2. Step 2: Convert to fraction form
    17,660.38/24,371.49 = 9,702.77/x
  3. Step 3: Cross multiply
    17,660.38x = 24,371.49 × 9,702.77
  4. Step 4: Simplify right side
    17,660.38x = 236,470,962.03
  5. Step 5: Solve for x
    x = 236,470,962.03/17,660.38
  6. Step 6: Final answer
    x = 13,389.91

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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.