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Finding the Fourth Proportional to 24,823.80, 37,225.80 and 8,179.20

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Solution

The fourth proportional to 24,823.80, 37,225.80 and 8,179.20 is: 12,265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,823.80 : 37,225.80 = 8,179.20 : x
  2. Step 2: Convert to fraction form
    24,823.80/37,225.80 = 8,179.20/x
  3. Step 3: Cross multiply
    24,823.80x = 37,225.80 × 8,179.20
  4. Step 4: Simplify right side
    24,823.80x = 304,477,263.36
  5. Step 5: Solve for x
    x = 304,477,263.36/24,823.80
  6. Step 6: Final answer
    x = 12,265.54

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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.