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Finding the Fourth Proportional to 22,086.40, 33,129.55 and 8,948

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Solution

The fourth proportional to 22,086.40, 33,129.55 and 8,948 is: 13,421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,086.40 : 33,129.55 = 8,948 : x
  2. Step 2: Convert to fraction form
    22,086.40/33,129.55 = 8,948/x
  3. Step 3: Cross multiply
    22,086.40x = 33,129.55 × 8,948
  4. Step 4: Simplify right side
    22,086.40x = 296,443,213.40
  5. Step 5: Solve for x
    x = 296,443,213.40/22,086.40
  6. Step 6: Final answer
    x = 13,421.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.