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Finding the Fourth Proportional to 24,978.06, 37,462.01 and 9,177.66

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Solution

The fourth proportional to 24,978.06, 37,462.01 and 9,177.66 is: 13,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.06 : 37,462.01 = 9,177.66 : x
  2. Step 2: Convert to fraction form
    24,978.06/37,462.01 = 9,177.66/x
  3. Step 3: Cross multiply
    24,978.06x = 37,462.01 × 9,177.66
  4. Step 4: Simplify right side
    24,978.06x = 343,813,544.81
  5. Step 5: Solve for x
    x = 343,813,544.81/24,978.06
  6. Step 6: Final answer
    x = 13,764.62

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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.