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Finding the Fourth Proportional to 22,265.40, 33,407.10 and 9,778.86

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Solution

The fourth proportional to 22,265.40, 33,407.10 and 9,778.86 is: 14,672.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,265.40 : 33,407.10 = 9,778.86 : x
  2. Step 2: Convert to fraction form
    22,265.40/33,407.10 = 9,778.86/x
  3. Step 3: Cross multiply
    22,265.40x = 33,407.10 × 9,778.86
  4. Step 4: Simplify right side
    22,265.40x = 326,683,353.91
  5. Step 5: Solve for x
    x = 326,683,353.91/22,265.40
  6. Step 6: Final answer
    x = 14,672.24

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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.