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Finding the Fourth Proportional to 22,585.69, 31,168.31 and 12,514.05

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Solution

The fourth proportional to 22,585.69, 31,168.31 and 12,514.05 is: 17,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,585.69 : 31,168.31 = 12,514.05 : x
  2. Step 2: Convert to fraction form
    22,585.69/31,168.31 = 12,514.05/x
  3. Step 3: Cross multiply
    22,585.69x = 31,168.31 × 12,514.05
  4. Step 4: Simplify right side
    22,585.69x = 390,041,797.58
  5. Step 5: Solve for x
    x = 390,041,797.58/22,585.69
  6. Step 6: Final answer
    x = 17,269.42

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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.