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Finding the Fourth Proportional to 22,885.43, 31,582.65 and 12,814.29

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Solution

The fourth proportional to 22,885.43, 31,582.65 and 12,814.29 is: 17,684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,885.43 : 31,582.65 = 12,814.29 : x
  2. Step 2: Convert to fraction form
    22,885.43/31,582.65 = 12,814.29/x
  3. Step 3: Cross multiply
    22,885.43x = 31,582.65 × 12,814.29
  4. Step 4: Simplify right side
    22,885.43x = 404,709,236.07
  5. Step 5: Solve for x
    x = 404,709,236.07/22,885.43
  6. Step 6: Final answer
    x = 17,684.15

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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.