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Finding the Fourth Proportional to 13,132.95, 18,129.60 and 8,419.92

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Solution

The fourth proportional to 13,132.95, 18,129.60 and 8,419.92 is: 11,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.95 : 18,129.60 = 8,419.92 : x
  2. Step 2: Convert to fraction form
    13,132.95/18,129.60 = 8,419.92/x
  3. Step 3: Cross multiply
    13,132.95x = 18,129.60 × 8,419.92
  4. Step 4: Simplify right side
    13,132.95x = 152,649,781.63
  5. Step 5: Solve for x
    x = 152,649,781.63/13,132.95
  6. Step 6: Final answer
    x = 11,623.42

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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.