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Finding the Fourth Proportional to 24,782.02, 37,146.94 and 15,782.97

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Solution

The fourth proportional to 24,782.02, 37,146.94 and 15,782.97 is: 23,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782.02 : 37,146.94 = 15,782.97 : x
  2. Step 2: Convert to fraction form
    24,782.02/37,146.94 = 15,782.97/x
  3. Step 3: Cross multiply
    24,782.02x = 37,146.94 × 15,782.97
  4. Step 4: Simplify right side
    24,782.02x = 586,288,930.50
  5. Step 5: Solve for x
    x = 586,288,930.50/24,782.02
  6. Step 6: Final answer
    x = 23,657.84

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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.