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Finding the Fourth Proportional to 24,425.30, 36,638.02 and 5,957.30

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Solution

The fourth proportional to 24,425.30, 36,638.02 and 5,957.30 is: 8,935.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,425.30 : 36,638.02 = 5,957.30 : x
  2. Step 2: Convert to fraction form
    24,425.30/36,638.02 = 5,957.30/x
  3. Step 3: Cross multiply
    24,425.30x = 36,638.02 × 5,957.30
  4. Step 4: Simplify right side
    24,425.30x = 218,263,569.50
  5. Step 5: Solve for x
    x = 218,263,569.50/24,425.30
  6. Step 6: Final answer
    x = 8,935.96

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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.