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Finding the Fourth Proportional to 13,114.64, 18,098.40 and 7,146.30

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Solution

The fourth proportional to 13,114.64, 18,098.40 and 7,146.30 is: 9,862.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.64 : 18,098.40 = 7,146.30 : x
  2. Step 2: Convert to fraction form
    13,114.64/18,098.40 = 7,146.30/x
  3. Step 3: Cross multiply
    13,114.64x = 18,098.40 × 7,146.30
  4. Step 4: Simplify right side
    13,114.64x = 129,336,505.43
  5. Step 5: Solve for x
    x = 129,336,505.43/13,114.64
  6. Step 6: Final answer
    x = 9,862.00

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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.