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Finding the Fourth Proportional to 22,890.84, 31,585.71 and 12,819.71

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Solution

The fourth proportional to 22,890.84, 31,585.71 and 12,819.71 is: 17,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,890.84 : 31,585.71 = 12,819.71 : x
  2. Step 2: Convert to fraction form
    22,890.84/31,585.71 = 12,819.71/x
  3. Step 3: Cross multiply
    22,890.84x = 31,585.71 × 12,819.71
  4. Step 4: Simplify right side
    22,890.84x = 404,919,484.42
  5. Step 5: Solve for x
    x = 404,919,484.42/22,890.84
  6. Step 6: Final answer
    x = 17,689.15

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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.