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Finding the Fourth Proportional to 24,606, 36,923.76 and 9,025.20

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Solution

The fourth proportional to 24,606, 36,923.76 and 9,025.20 is: 13,543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,606 : 36,923.76 = 9,025.20 : x
  2. Step 2: Convert to fraction form
    24,606/36,923.76 = 9,025.20/x
  3. Step 3: Cross multiply
    24,606x = 36,923.76 × 9,025.20
  4. Step 4: Simplify right side
    24,606x = 333,244,318.75
  5. Step 5: Solve for x
    x = 333,244,318.75/24,606
  6. Step 6: Final answer
    x = 13,543.21

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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.