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Finding the Fourth Proportional to 13,634.67, 20,440.95 and 6,132.74

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Solution

The fourth proportional to 13,634.67, 20,440.95 and 6,132.74 is: 9,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.67 : 20,440.95 = 6,132.74 : x
  2. Step 2: Convert to fraction form
    13,634.67/20,440.95 = 6,132.74/x
  3. Step 3: Cross multiply
    13,634.67x = 20,440.95 × 6,132.74
  4. Step 4: Simplify right side
    13,634.67x = 125,358,981.24
  5. Step 5: Solve for x
    x = 125,358,981.24/13,634.67
  6. Step 6: Final answer
    x = 9,194.13

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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.