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Finding the Fourth Proportional to 22,468.19, 31,016.04 and 14,514.29

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Solution

The fourth proportional to 22,468.19, 31,016.04 and 14,514.29 is: 20,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468.19 : 31,016.04 = 14,514.29 : x
  2. Step 2: Convert to fraction form
    22,468.19/31,016.04 = 14,514.29/x
  3. Step 3: Cross multiply
    22,468.19x = 31,016.04 × 14,514.29
  4. Step 4: Simplify right side
    22,468.19x = 450,175,799.21
  5. Step 5: Solve for x
    x = 450,175,799.21/22,468.19
  6. Step 6: Final answer
    x = 20,036.14

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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.