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Finding the Fourth Proportional to 24,533.70, 36,778.68 and 20,407.56

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Solution

The fourth proportional to 24,533.70, 36,778.68 and 20,407.56 is: 30,593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,533.70 : 36,778.68 = 20,407.56 : x
  2. Step 2: Convert to fraction form
    24,533.70/36,778.68 = 20,407.56/x
  3. Step 3: Cross multiply
    24,533.70x = 36,778.68 × 20,407.56
  4. Step 4: Simplify right side
    24,533.70x = 750,563,118.82
  5. Step 5: Solve for x
    x = 750,563,118.82/24,533.70
  6. Step 6: Final answer
    x = 30,593.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.