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Finding the Fourth Proportional to 24,275, 36,390.83 and 9,480.46

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Solution

The fourth proportional to 24,275, 36,390.83 and 9,480.46 is: 14,212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,275 : 36,390.83 = 9,480.46 : x
  2. Step 2: Convert to fraction form
    24,275/36,390.83 = 9,480.46/x
  3. Step 3: Cross multiply
    24,275x = 36,390.83 × 9,480.46
  4. Step 4: Simplify right side
    24,275x = 345,001,808.18
  5. Step 5: Solve for x
    x = 345,001,808.18/24,275
  6. Step 6: Final answer
    x = 14,212.23

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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.