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Finding the Fourth Proportional to 17,702.10, 24,429.33 and 9,743.58

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Solution

The fourth proportional to 17,702.10, 24,429.33 and 9,743.58 is: 13,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.10 : 24,429.33 = 9,743.58 : x
  2. Step 2: Convert to fraction form
    17,702.10/24,429.33 = 9,743.58/x
  3. Step 3: Cross multiply
    17,702.10x = 24,429.33 × 9,743.58
  4. Step 4: Simplify right side
    17,702.10x = 238,029,131.20
  5. Step 5: Solve for x
    x = 238,029,131.20/17,702.10
  6. Step 6: Final answer
    x = 13,446.38

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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.