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Finding the Fourth Proportional to 13,710.25, 18,920.15 and 7,422.63

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Solution

The fourth proportional to 13,710.25, 18,920.15 and 7,422.63 is: 10,243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.25 : 18,920.15 = 7,422.63 : x
  2. Step 2: Convert to fraction form
    13,710.25/18,920.15 = 7,422.63/x
  3. Step 3: Cross multiply
    13,710.25x = 18,920.15 × 7,422.63
  4. Step 4: Simplify right side
    13,710.25x = 140,437,272.99
  5. Step 5: Solve for x
    x = 140,437,272.99/13,710.25
  6. Step 6: Final answer
    x = 10,243.23

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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.