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Finding the Fourth Proportional to 24,752.80, 37,112.80 and 13,664.80

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Solution

The fourth proportional to 24,752.80, 37,112.80 and 13,664.80 is: 20,488.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,752.80 : 37,112.80 = 13,664.80 : x
  2. Step 2: Convert to fraction form
    24,752.80/37,112.80 = 13,664.80/x
  3. Step 3: Cross multiply
    24,752.80x = 37,112.80 × 13,664.80
  4. Step 4: Simplify right side
    24,752.80x = 507,138,989.44
  5. Step 5: Solve for x
    x = 507,138,989.44/24,752.80
  6. Step 6: Final answer
    x = 20,488.15

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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.