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Finding the Fourth Proportional to 13,841.76, 20,762.42 and 6,442.08

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Solution

The fourth proportional to 13,841.76, 20,762.42 and 6,442.08 is: 9,663.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.76 : 20,762.42 = 6,442.08 : x
  2. Step 2: Convert to fraction form
    13,841.76/20,762.42 = 6,442.08/x
  3. Step 3: Cross multiply
    13,841.76x = 20,762.42 × 6,442.08
  4. Step 4: Simplify right side
    13,841.76x = 133,753,170.63
  5. Step 5: Solve for x
    x = 133,753,170.63/13,841.76
  6. Step 6: Final answer
    x = 9,663.02

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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.