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Finding the Fourth Proportional to 16,642.20, 24,911.10 and 9,135.48

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Solution

The fourth proportional to 16,642.20, 24,911.10 and 9,135.48 is: 13,674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.20 : 24,911.10 = 9,135.48 : x
  2. Step 2: Convert to fraction form
    16,642.20/24,911.10 = 9,135.48/x
  3. Step 3: Cross multiply
    16,642.20x = 24,911.10 × 9,135.48
  4. Step 4: Simplify right side
    16,642.20x = 227,574,855.83
  5. Step 5: Solve for x
    x = 227,574,855.83/16,642.20
  6. Step 6: Final answer
    x = 13,674.57

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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.