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Finding the Fourth Proportional to 13,417.89, 20,129.37 and 6,022.17

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Solution

The fourth proportional to 13,417.89, 20,129.37 and 6,022.17 is: 9,034.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,417.89 : 20,129.37 = 6,022.17 : x
  2. Step 2: Convert to fraction form
    13,417.89/20,129.37 = 6,022.17/x
  3. Step 3: Cross multiply
    13,417.89x = 20,129.37 × 6,022.17
  4. Step 4: Simplify right side
    13,417.89x = 121,222,488.13
  5. Step 5: Solve for x
    x = 121,222,488.13/13,417.89
  6. Step 6: Final answer
    x = 9,034.39

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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.