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Finding the Fourth Proportional to 13,710.57, 18,920.68 and 7,422.95

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Solution

The fourth proportional to 13,710.57, 18,920.68 and 7,422.95 is: 10,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.57 : 18,920.68 = 7,422.95 : x
  2. Step 2: Convert to fraction form
    13,710.57/18,920.68 = 7,422.95/x
  3. Step 3: Cross multiply
    13,710.57x = 18,920.68 × 7,422.95
  4. Step 4: Simplify right side
    13,710.57x = 140,447,148.45
  5. Step 5: Solve for x
    x = 140,447,148.45/13,710.57
  6. Step 6: Final answer
    x = 10,243.71

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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.