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Finding the Fourth Proportional to 17,702.58, 24,429.64 and 10,149.36

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Solution

The fourth proportional to 17,702.58, 24,429.64 and 10,149.36 is: 14,006.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.58 : 24,429.64 = 10,149.36 : x
  2. Step 2: Convert to fraction form
    17,702.58/24,429.64 = 10,149.36/x
  3. Step 3: Cross multiply
    17,702.58x = 24,429.64 × 10,149.36
  4. Step 4: Simplify right side
    17,702.58x = 247,945,211.03
  5. Step 5: Solve for x
    x = 247,945,211.03/17,702.58
  6. Step 6: Final answer
    x = 14,006.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.