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Finding the Fourth Proportional to 18,459.63, 27,689.84 and 6,614.18

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Solution

The fourth proportional to 18,459.63, 27,689.84 and 6,614.18 is: 9,921.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,459.63 : 27,689.84 = 6,614.18 : x
  2. Step 2: Convert to fraction form
    18,459.63/27,689.84 = 6,614.18/x
  3. Step 3: Cross multiply
    18,459.63x = 27,689.84 × 6,614.18
  4. Step 4: Simplify right side
    18,459.63x = 183,145,414.41
  5. Step 5: Solve for x
    x = 183,145,414.41/18,459.63
  6. Step 6: Final answer
    x = 9,921.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.