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Finding the Fourth Proportional to 16,502.40, 24,759.24 and 9,097.44

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Solution

The fourth proportional to 16,502.40, 24,759.24 and 9,097.44 is: 13,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.40 : 24,759.24 = 9,097.44 : x
  2. Step 2: Convert to fraction form
    16,502.40/24,759.24 = 9,097.44/x
  3. Step 3: Cross multiply
    16,502.40x = 24,759.24 × 9,097.44
  4. Step 4: Simplify right side
    16,502.40x = 225,245,700.35
  5. Step 5: Solve for x
    x = 225,245,700.35/16,502.40
  6. Step 6: Final answer
    x = 13,649.27

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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.