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Finding the Fourth Proportional to 24,496.54, 36,750.96 and 6,966.37

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Solution

The fourth proportional to 24,496.54, 36,750.96 and 6,966.37 is: 10,451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,496.54 : 36,750.96 = 6,966.37 : x
  2. Step 2: Convert to fraction form
    24,496.54/36,750.96 = 6,966.37/x
  3. Step 3: Cross multiply
    24,496.54x = 36,750.96 × 6,966.37
  4. Step 4: Simplify right side
    24,496.54x = 256,020,785.22
  5. Step 5: Solve for x
    x = 256,020,785.22/24,496.54
  6. Step 6: Final answer
    x = 10,451.30

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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.