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Finding the Fourth Proportional to 24,833.80, 37,219.02 and 11,657.08

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Solution

The fourth proportional to 24,833.80, 37,219.02 and 11,657.08 is: 17,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,833.80 : 37,219.02 = 11,657.08 : x
  2. Step 2: Convert to fraction form
    24,833.80/37,219.02 = 11,657.08/x
  3. Step 3: Cross multiply
    24,833.80x = 37,219.02 × 11,657.08
  4. Step 4: Simplify right side
    24,833.80x = 433,865,093.66
  5. Step 5: Solve for x
    x = 433,865,093.66/24,833.80
  6. Step 6: Final answer
    x = 17,470.75

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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.