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Finding the Fourth Proportional to 13,419.78, 20,129.67 and 4,186.50

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Solution

The fourth proportional to 13,419.78, 20,129.67 and 4,186.50 is: 6,279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.78 : 20,129.67 = 4,186.50 : x
  2. Step 2: Convert to fraction form
    13,419.78/20,129.67 = 4,186.50/x
  3. Step 3: Cross multiply
    13,419.78x = 20,129.67 × 4,186.50
  4. Step 4: Simplify right side
    13,419.78x = 84,272,863.46
  5. Step 5: Solve for x
    x = 84,272,863.46/13,419.78
  6. Step 6: Final answer
    x = 6,279.75

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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.