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Finding the Fourth Proportional to 17,702.55, 24,429.05 and 9,636.36

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Solution

The fourth proportional to 17,702.55, 24,429.05 and 9,636.36 is: 13,297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.55 : 24,429.05 = 9,636.36 : x
  2. Step 2: Convert to fraction form
    17,702.55/24,429.05 = 9,636.36/x
  3. Step 3: Cross multiply
    17,702.55x = 24,429.05 × 9,636.36
  4. Step 4: Simplify right side
    17,702.55x = 235,407,120.26
  5. Step 5: Solve for x
    x = 235,407,120.26/17,702.55
  6. Step 6: Final answer
    x = 13,297.92

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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.