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Finding the Fourth Proportional to 24,718.80, 37,077.90 and 5,999

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Solution

The fourth proportional to 24,718.80, 37,077.90 and 5,999 is: 8,998.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,718.80 : 37,077.90 = 5,999 : x
  2. Step 2: Convert to fraction form
    24,718.80/37,077.90 = 5,999/x
  3. Step 3: Cross multiply
    24,718.80x = 37,077.90 × 5,999
  4. Step 4: Simplify right side
    24,718.80x = 222,430,322.10
  5. Step 5: Solve for x
    x = 222,430,322.10/24,718.80
  6. Step 6: Final answer
    x = 8,998.43

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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.