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Finding the Fourth Proportional to 24,321.57, 36,477.03 and 9,323.61

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Solution

The fourth proportional to 24,321.57, 36,477.03 and 9,323.61 is: 13,983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,321.57 : 36,477.03 = 9,323.61 : x
  2. Step 2: Convert to fraction form
    24,321.57/36,477.03 = 9,323.61/x
  3. Step 3: Cross multiply
    24,321.57x = 36,477.03 × 9,323.61
  4. Step 4: Simplify right side
    24,321.57x = 340,097,499.85
  5. Step 5: Solve for x
    x = 340,097,499.85/24,321.57
  6. Step 6: Final answer
    x = 13,983.37

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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.