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Finding the Fourth Proportional to 13,710.40, 18,920.28 and 7,742.20

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Solution

The fourth proportional to 13,710.40, 18,920.28 and 7,742.20 is: 10,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.40 : 18,920.28 = 7,742.20 : x
  2. Step 2: Convert to fraction form
    13,710.40/18,920.28 = 7,742.20/x
  3. Step 3: Cross multiply
    13,710.40x = 18,920.28 × 7,742.20
  4. Step 4: Simplify right side
    13,710.40x = 146,484,591.82
  5. Step 5: Solve for x
    x = 146,484,591.82/13,710.40
  6. Step 6: Final answer
    x = 10,684.20

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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.