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Finding the Fourth Proportional to 13,875.14, 20,818.17 and 6,078.48

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Solution

The fourth proportional to 13,875.14, 20,818.17 and 6,078.48 is: 9,120.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875.14 : 20,818.17 = 6,078.48 : x
  2. Step 2: Convert to fraction form
    13,875.14/20,818.17 = 6,078.48/x
  3. Step 3: Cross multiply
    13,875.14x = 20,818.17 × 6,078.48
  4. Step 4: Simplify right side
    13,875.14x = 126,542,829.98
  5. Step 5: Solve for x
    x = 126,542,829.98/13,875.14
  6. Step 6: Final answer
    x = 9,120.12

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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.