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Finding the Fourth Proportional to 13,114.90, 18,098.67 and 7,146.75

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Solution

The fourth proportional to 13,114.90, 18,098.67 and 7,146.75 is: 9,862.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.90 : 18,098.67 = 7,146.75 : x
  2. Step 2: Convert to fraction form
    13,114.90/18,098.67 = 7,146.75/x
  3. Step 3: Cross multiply
    13,114.90x = 18,098.67 × 7,146.75
  4. Step 4: Simplify right side
    13,114.90x = 129,346,669.82
  5. Step 5: Solve for x
    x = 129,346,669.82/13,114.90
  6. Step 6: Final answer
    x = 9,862.57

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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.