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Finding the Fourth Proportional to 24,620.40, 36,923.40 and 8,823.60

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Solution

The fourth proportional to 24,620.40, 36,923.40 and 8,823.60 is: 13,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,620.40 : 36,923.40 = 8,823.60 : x
  2. Step 2: Convert to fraction form
    24,620.40/36,923.40 = 8,823.60/x
  3. Step 3: Cross multiply
    24,620.40x = 36,923.40 × 8,823.60
  4. Step 4: Simplify right side
    24,620.40x = 325,797,312.24
  5. Step 5: Solve for x
    x = 325,797,312.24/24,620.40
  6. Step 6: Final answer
    x = 13,232.82

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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.