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Finding the Fourth Proportional to 22,421.28, 33,627.92 and 8,378.16

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Solution

The fourth proportional to 22,421.28, 33,627.92 and 8,378.16 is: 12,565.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,421.28 : 33,627.92 = 8,378.16 : x
  2. Step 2: Convert to fraction form
    22,421.28/33,627.92 = 8,378.16/x
  3. Step 3: Cross multiply
    22,421.28x = 33,627.92 × 8,378.16
  4. Step 4: Simplify right side
    22,421.28x = 281,740,094.23
  5. Step 5: Solve for x
    x = 281,740,094.23/22,421.28
  6. Step 6: Final answer
    x = 12,565.75

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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.