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Finding the Fourth Proportional to 13,710.31, 18,919.15 and 7,742.57

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Solution

The fourth proportional to 13,710.31, 18,919.15 and 7,742.57 is: 10,684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.31 : 18,919.15 = 7,742.57 : x
  2. Step 2: Convert to fraction form
    13,710.31/18,919.15 = 7,742.57/x
  3. Step 3: Cross multiply
    13,710.31x = 18,919.15 × 7,742.57
  4. Step 4: Simplify right side
    13,710.31x = 146,482,729.26
  5. Step 5: Solve for x
    x = 146,482,729.26/13,710.31
  6. Step 6: Final answer
    x = 10,684.13

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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.