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Finding the Fourth Proportional to 24,515.64, 36,777.50 and 9,724.64

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Solution

The fourth proportional to 24,515.64, 36,777.50 and 9,724.64 is: 14,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,515.64 : 36,777.50 = 9,724.64 : x
  2. Step 2: Convert to fraction form
    24,515.64/36,777.50 = 9,724.64/x
  3. Step 3: Cross multiply
    24,515.64x = 36,777.50 × 9,724.64
  4. Step 4: Simplify right side
    24,515.64x = 357,647,947.60
  5. Step 5: Solve for x
    x = 357,647,947.60/24,515.64
  6. Step 6: Final answer
    x = 14,588.56

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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.