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Finding the Fourth Proportional to 22,514.69, 31,068.25 and 12,952.04

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Solution

The fourth proportional to 22,514.69, 31,068.25 and 12,952.04 is: 17,872.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.69 : 31,068.25 = 12,952.04 : x
  2. Step 2: Convert to fraction form
    22,514.69/31,068.25 = 12,952.04/x
  3. Step 3: Cross multiply
    22,514.69x = 31,068.25 × 12,952.04
  4. Step 4: Simplify right side
    22,514.69x = 402,397,029.01
  5. Step 5: Solve for x
    x = 402,397,029.01/22,514.69
  6. Step 6: Final answer
    x = 17,872.64

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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.