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Finding the Fourth Proportional to 13,708.17, 18,917.19 and 7,420.50

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Solution

The fourth proportional to 13,708.17, 18,917.19 and 7,420.50 is: 10,240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.17 : 18,917.19 = 7,420.50 : x
  2. Step 2: Convert to fraction form
    13,708.17/18,917.19 = 7,420.50/x
  3. Step 3: Cross multiply
    13,708.17x = 18,917.19 × 7,420.50
  4. Step 4: Simplify right side
    13,708.17x = 140,375,008.40
  5. Step 5: Solve for x
    x = 140,375,008.40/13,708.17
  6. Step 6: Final answer
    x = 10,240.24

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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.