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Finding the Fourth Proportional to 41,882.58, 62,820.12 and 13,802.40

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Solution

The fourth proportional to 41,882.58, 62,820.12 and 13,802.40 is: 20,702.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,882.58 : 62,820.12 = 13,802.40 : x
  2. Step 2: Convert to fraction form
    41,882.58/62,820.12 = 13,802.40/x
  3. Step 3: Cross multiply
    41,882.58x = 62,820.12 × 13,802.40
  4. Step 4: Simplify right side
    41,882.58x = 867,068,424.29
  5. Step 5: Solve for x
    x = 867,068,424.29/41,882.58
  6. Step 6: Final answer
    x = 20,702.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.