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Finding the Fourth Proportional to 24,474.60, 36,693.90 and 7,825.02

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Solution

The fourth proportional to 24,474.60, 36,693.90 and 7,825.02 is: 11,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,474.60 : 36,693.90 = 7,825.02 : x
  2. Step 2: Convert to fraction form
    24,474.60/36,693.90 = 7,825.02/x
  3. Step 3: Cross multiply
    24,474.60x = 36,693.90 × 7,825.02
  4. Step 4: Simplify right side
    24,474.60x = 287,130,501.38
  5. Step 5: Solve for x
    x = 287,130,501.38/24,474.60
  6. Step 6: Final answer
    x = 11,731.78

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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.