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Finding the Fourth Proportional to 13,114.98, 18,099.10 and 7,146.84

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Solution

The fourth proportional to 13,114.98, 18,099.10 and 7,146.84 is: 9,862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.98 : 18,099.10 = 7,146.84 : x
  2. Step 2: Convert to fraction form
    13,114.98/18,099.10 = 7,146.84/x
  3. Step 3: Cross multiply
    13,114.98x = 18,099.10 × 7,146.84
  4. Step 4: Simplify right side
    13,114.98x = 129,351,371.84
  5. Step 5: Solve for x
    x = 129,351,371.84/13,114.98
  6. Step 6: Final answer
    x = 9,862.87

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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.