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Finding the Fourth Proportional to 24,807.50, 37,216.38 and 8,168.53

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Solution

The fourth proportional to 24,807.50, 37,216.38 and 8,168.53 is: 12,254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,807.50 : 37,216.38 = 8,168.53 : x
  2. Step 2: Convert to fraction form
    24,807.50/37,216.38 = 8,168.53/x
  3. Step 3: Cross multiply
    24,807.50x = 37,216.38 × 8,168.53
  4. Step 4: Simplify right side
    24,807.50x = 304,003,116.52
  5. Step 5: Solve for x
    x = 304,003,116.52/24,807.50
  6. Step 6: Final answer
    x = 12,254.48

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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.