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Finding the Fourth Proportional to 13,117.17, 19,677.71 and 4,229.55

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Solution

The fourth proportional to 13,117.17, 19,677.71 and 4,229.55 is: 6,344.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.17 : 19,677.71 = 4,229.55 : x
  2. Step 2: Convert to fraction form
    13,117.17/19,677.71 = 4,229.55/x
  3. Step 3: Cross multiply
    13,117.17x = 19,677.71 × 4,229.55
  4. Step 4: Simplify right side
    13,117.17x = 83,227,837.18
  5. Step 5: Solve for x
    x = 83,227,837.18/13,117.17
  6. Step 6: Final answer
    x = 6,344.95

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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.