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Finding the Fourth Proportional to 24,187.76, 36,277.80 and 8,177.04

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Solution

The fourth proportional to 24,187.76, 36,277.80 and 8,177.04 is: 12,264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,187.76 : 36,277.80 = 8,177.04 : x
  2. Step 2: Convert to fraction form
    24,187.76/36,277.80 = 8,177.04/x
  3. Step 3: Cross multiply
    24,187.76x = 36,277.80 × 8,177.04
  4. Step 4: Simplify right side
    24,187.76x = 296,645,021.71
  5. Step 5: Solve for x
    x = 296,645,021.71/24,187.76
  6. Step 6: Final answer
    x = 12,264.26

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1.5x scale

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.