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Finding the Fourth Proportional to 22,957.83, 34,442.21 and 12,438.36

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Solution

The fourth proportional to 22,957.83, 34,442.21 and 12,438.36 is: 18,660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.83 : 34,442.21 = 12,438.36 : x
  2. Step 2: Convert to fraction form
    22,957.83/34,442.21 = 12,438.36/x
  3. Step 3: Cross multiply
    22,957.83x = 34,442.21 × 12,438.36
  4. Step 4: Simplify right side
    22,957.83x = 428,404,638.27
  5. Step 5: Solve for x
    x = 428,404,638.27/22,957.83
  6. Step 6: Final answer
    x = 18,660.50

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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.