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Finding the Fourth Proportional to 23,753.81, 32,780 and 13,143.52

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Solution

The fourth proportional to 23,753.81, 32,780 and 13,143.52 is: 18,137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,753.81 : 32,780 = 13,143.52 : x
  2. Step 2: Convert to fraction form
    23,753.81/32,780 = 13,143.52/x
  3. Step 3: Cross multiply
    23,753.81x = 32,780 × 13,143.52
  4. Step 4: Simplify right side
    23,753.81x = 430,844,585.60
  5. Step 5: Solve for x
    x = 430,844,585.60/23,753.81
  6. Step 6: Final answer
    x = 18,137.91

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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.