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Finding the Fourth Proportional to 24,016.50, 36,025.78 and 7,377.20

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Solution

The fourth proportional to 24,016.50, 36,025.78 and 7,377.20 is: 11,066.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,016.50 : 36,025.78 = 7,377.20 : x
  2. Step 2: Convert to fraction form
    24,016.50/36,025.78 = 7,377.20/x
  3. Step 3: Cross multiply
    24,016.50x = 36,025.78 × 7,377.20
  4. Step 4: Simplify right side
    24,016.50x = 265,769,384.22
  5. Step 5: Solve for x
    x = 265,769,384.22/24,016.50
  6. Step 6: Final answer
    x = 11,066.12

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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.