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Finding the Fourth Proportional to 13,100.78, 18,078.65 and 7,132.40

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Solution

The fourth proportional to 13,100.78, 18,078.65 and 7,132.40 is: 9,842.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,100.78 : 18,078.65 = 7,132.40 : x
  2. Step 2: Convert to fraction form
    13,100.78/18,078.65 = 7,132.40/x
  3. Step 3: Cross multiply
    13,100.78x = 18,078.65 × 7,132.40
  4. Step 4: Simplify right side
    13,100.78x = 128,944,037.20
  5. Step 5: Solve for x
    x = 128,944,037.20/13,100.78
  6. Step 6: Final answer
    x = 9,842.47

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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.