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Finding the Fourth Proportional to 13,036.80, 19,546.65 and 7,414.59

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Solution

The fourth proportional to 13,036.80, 19,546.65 and 7,414.59 is: 11,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,036.80 : 19,546.65 = 7,414.59 : x
  2. Step 2: Convert to fraction form
    13,036.80/19,546.65 = 7,414.59/x
  3. Step 3: Cross multiply
    13,036.80x = 19,546.65 × 7,414.59
  4. Step 4: Simplify right side
    13,036.80x = 144,930,395.62
  5. Step 5: Solve for x
    x = 144,930,395.62/13,036.80
  6. Step 6: Final answer
    x = 11,117.02

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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.