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Finding the Fourth Proportional to 12,114.64, 18,167.20 and 5,098.01

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Solution

The fourth proportional to 12,114.64, 18,167.20 and 5,098.01 is: 7,645.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.64 : 18,167.20 = 5,098.01 : x
  2. Step 2: Convert to fraction form
    12,114.64/18,167.20 = 5,098.01/x
  3. Step 3: Cross multiply
    12,114.64x = 18,167.20 × 5,098.01
  4. Step 4: Simplify right side
    12,114.64x = 92,616,541.78
  5. Step 5: Solve for x
    x = 92,616,541.78/12,114.64
  6. Step 6: Final answer
    x = 7,645.01

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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.