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Finding the Fourth Proportional to 24,441.60, 36,655.20 and 9,645.60

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Solution

The fourth proportional to 24,441.60, 36,655.20 and 9,645.60 is: 14,465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,441.60 : 36,655.20 = 9,645.60 : x
  2. Step 2: Convert to fraction form
    24,441.60/36,655.20 = 9,645.60/x
  3. Step 3: Cross multiply
    24,441.60x = 36,655.20 × 9,645.60
  4. Step 4: Simplify right side
    24,441.60x = 353,561,397.12
  5. Step 5: Solve for x
    x = 353,561,397.12/24,441.60
  6. Step 6: Final answer
    x = 14,465.56

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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.