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Finding the Fourth Proportional to 13,114.75, 18,098.28 and 7,146.40

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Solution

The fourth proportional to 13,114.75, 18,098.28 and 7,146.40 is: 9,861.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.75 : 18,098.28 = 7,146.40 : x
  2. Step 2: Convert to fraction form
    13,114.75/18,098.28 = 7,146.40/x
  3. Step 3: Cross multiply
    13,114.75x = 18,098.28 × 7,146.40
  4. Step 4: Simplify right side
    13,114.75x = 129,337,512.46
  5. Step 5: Solve for x
    x = 129,337,512.46/13,114.75
  6. Step 6: Final answer
    x = 9,861.99

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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.