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Finding the Fourth Proportional to 13,610.72, 18,784.17 and 7,642.04

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Solution

The fourth proportional to 13,610.72, 18,784.17 and 7,642.04 is: 10,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,610.72 : 18,784.17 = 7,642.04 : x
  2. Step 2: Convert to fraction form
    13,610.72/18,784.17 = 7,642.04/x
  3. Step 3: Cross multiply
    13,610.72x = 18,784.17 × 7,642.04
  4. Step 4: Simplify right side
    13,610.72x = 143,549,284.59
  5. Step 5: Solve for x
    x = 143,549,284.59/13,610.72
  6. Step 6: Final answer
    x = 10,546.78

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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.