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Finding the Fourth Proportional to 22,967.42, 34,434.90 and 8,915.76

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Solution

The fourth proportional to 22,967.42, 34,434.90 and 8,915.76 is: 13,367.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.42 : 34,434.90 = 8,915.76 : x
  2. Step 2: Convert to fraction form
    22,967.42/34,434.90 = 8,915.76/x
  3. Step 3: Cross multiply
    22,967.42x = 34,434.90 × 8,915.76
  4. Step 4: Simplify right side
    22,967.42x = 307,013,304.02
  5. Step 5: Solve for x
    x = 307,013,304.02/22,967.42
  6. Step 6: Final answer
    x = 13,367.34

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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.