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Finding the Fourth Proportional to 13,710.42, 18,920.30 and 7,422.75

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Solution

The fourth proportional to 13,710.42, 18,920.30 and 7,422.75 is: 10,243.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.42 : 18,920.30 = 7,422.75 : x
  2. Step 2: Convert to fraction form
    13,710.42/18,920.30 = 7,422.75/x
  3. Step 3: Cross multiply
    13,710.42x = 18,920.30 × 7,422.75
  4. Step 4: Simplify right side
    13,710.42x = 140,440,619.71
  5. Step 5: Solve for x
    x = 140,440,619.71/13,710.42
  6. Step 6: Final answer
    x = 10,243.35

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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.