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Finding the Fourth Proportional to 22,514.50, 31,068.36 and 12,442.80

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Solution

The fourth proportional to 22,514.50, 31,068.36 and 12,442.80 is: 17,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.50 : 31,068.36 = 12,442.80 : x
  2. Step 2: Convert to fraction form
    22,514.50/31,068.36 = 12,442.80/x
  3. Step 3: Cross multiply
    22,514.50x = 31,068.36 × 12,442.80
  4. Step 4: Simplify right side
    22,514.50x = 386,577,389.81
  5. Step 5: Solve for x
    x = 386,577,389.81/22,514.50
  6. Step 6: Final answer
    x = 17,170.15

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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.