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Finding the Fourth Proportional to 13,710.90, 18,920.96 and 7,742.64

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Solution

The fourth proportional to 13,710.90, 18,920.96 and 7,742.64 is: 10,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.90 : 18,920.96 = 7,742.64 : x
  2. Step 2: Convert to fraction form
    13,710.90/18,920.96 = 7,742.64/x
  3. Step 3: Cross multiply
    13,710.90x = 18,920.96 × 7,742.64
  4. Step 4: Simplify right side
    13,710.90x = 146,498,181.73
  5. Step 5: Solve for x
    x = 146,498,181.73/13,710.90
  6. Step 6: Final answer
    x = 10,684.80

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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.