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Finding the Fourth Proportional to 22,468.40, 31,012.56 and 13,040

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Solution

The fourth proportional to 22,468.40, 31,012.56 and 13,040 is: 17,998.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468.40 : 31,012.56 = 13,040 : x
  2. Step 2: Convert to fraction form
    22,468.40/31,012.56 = 13,040/x
  3. Step 3: Cross multiply
    22,468.40x = 31,012.56 × 13,040
  4. Step 4: Simplify right side
    22,468.40x = 404,403,782.40
  5. Step 5: Solve for x
    x = 404,403,782.40/22,468.40
  6. Step 6: Final answer
    x = 17,998.78

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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.