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Finding the Fourth Proportional to 12,042.57, 18,022.47 and 7,598.19

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Solution

The fourth proportional to 12,042.57, 18,022.47 and 7,598.19 is: 11,371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042.57 : 18,022.47 = 7,598.19 : x
  2. Step 2: Convert to fraction form
    12,042.57/18,022.47 = 7,598.19/x
  3. Step 3: Cross multiply
    12,042.57x = 18,022.47 × 7,598.19
  4. Step 4: Simplify right side
    12,042.57x = 136,938,151.33
  5. Step 5: Solve for x
    x = 136,938,151.33/12,042.57
  6. Step 6: Final answer
    x = 11,371.17

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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.