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Finding the Fourth Proportional to 24,931.80, 37,380.96 and 11,772

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Solution

The fourth proportional to 24,931.80, 37,380.96 and 11,772 is: 17,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,931.80 : 37,380.96 = 11,772 : x
  2. Step 2: Convert to fraction form
    24,931.80/37,380.96 = 11,772/x
  3. Step 3: Cross multiply
    24,931.80x = 37,380.96 × 11,772
  4. Step 4: Simplify right side
    24,931.80x = 440,048,661.12
  5. Step 5: Solve for x
    x = 440,048,661.12/24,931.80
  6. Step 6: Final answer
    x = 17,650.10

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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.