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Finding the Fourth Proportional to 22,950.40, 34,396.90 and 9,787.40

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Solution

The fourth proportional to 22,950.40, 34,396.90 and 9,787.40 is: 14,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,950.40 : 34,396.90 = 9,787.40 : x
  2. Step 2: Convert to fraction form
    22,950.40/34,396.90 = 9,787.40/x
  3. Step 3: Cross multiply
    22,950.40x = 34,396.90 × 9,787.40
  4. Step 4: Simplify right side
    22,950.40x = 336,656,219.06
  5. Step 5: Solve for x
    x = 336,656,219.06/22,950.40
  6. Step 6: Final answer
    x = 14,668.86

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Why These Related Problems?

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