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Finding the Fourth Proportional to 23,197.85, 32,017.64 and 13,126.31

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Solution

The fourth proportional to 23,197.85, 32,017.64 and 13,126.31 is: 18,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,197.85 : 32,017.64 = 13,126.31 : x
  2. Step 2: Convert to fraction form
    23,197.85/32,017.64 = 13,126.31/x
  3. Step 3: Cross multiply
    23,197.85x = 32,017.64 × 13,126.31
  4. Step 4: Simplify right side
    23,197.85x = 420,273,468.11
  5. Step 5: Solve for x
    x = 420,273,468.11/23,197.85
  6. Step 6: Final answer
    x = 18,116.91

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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.