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Finding the Fourth Proportional to 22,885.92, 31,575.12 and 12,812.80

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Solution

The fourth proportional to 22,885.92, 31,575.12 and 12,812.80 is: 17,677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,885.92 : 31,575.12 = 12,812.80 : x
  2. Step 2: Convert to fraction form
    22,885.92/31,575.12 = 12,812.80/x
  3. Step 3: Cross multiply
    22,885.92x = 31,575.12 × 12,812.80
  4. Step 4: Simplify right side
    22,885.92x = 404,565,697.54
  5. Step 5: Solve for x
    x = 404,565,697.54/22,885.92
  6. Step 6: Final answer
    x = 17,677.49

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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.