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Finding the Fourth Proportional to 23,652.14, 32,641.42 and 13,042.76

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Solution

The fourth proportional to 23,652.14, 32,641.42 and 13,042.76 is: 17,999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,652.14 : 32,641.42 = 13,042.76 : x
  2. Step 2: Convert to fraction form
    23,652.14/32,641.42 = 13,042.76/x
  3. Step 3: Cross multiply
    23,652.14x = 32,641.42 × 13,042.76
  4. Step 4: Simplify right side
    23,652.14x = 425,734,207.12
  5. Step 5: Solve for x
    x = 425,734,207.12/23,652.14
  6. Step 6: Final answer
    x = 17,999.82

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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.