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Finding the Fourth Proportional to 29,514.24, 40,726.64 and 17,414.40

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Solution

The fourth proportional to 29,514.24, 40,726.64 and 17,414.40 is: 24,030.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,514.24 : 40,726.64 = 17,414.40 : x
  2. Step 2: Convert to fraction form
    29,514.24/40,726.64 = 17,414.40/x
  3. Step 3: Cross multiply
    29,514.24x = 40,726.64 × 17,414.40
  4. Step 4: Simplify right side
    29,514.24x = 709,229,999.62
  5. Step 5: Solve for x
    x = 709,229,999.62/29,514.24
  6. Step 6: Final answer
    x = 24,030.10

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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.