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Finding the Fourth Proportional to 24,467.60, 33,750 and 20,368.96

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Solution

The fourth proportional to 24,467.60, 33,750 and 20,368.96 is: 28,096.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,467.60 : 33,750 = 20,368.96 : x
  2. Step 2: Convert to fraction form
    24,467.60/33,750 = 20,368.96/x
  3. Step 3: Cross multiply
    24,467.60x = 33,750 × 20,368.96
  4. Step 4: Simplify right side
    24,467.60x = 687,452,400
  5. Step 5: Solve for x
    x = 687,452,400/24,467.60
  6. Step 6: Final answer
    x = 28,096.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.