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Finding the Fourth Proportional to 16,149.60, 22,284.72 and 9,859.68

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Solution

The fourth proportional to 16,149.60, 22,284.72 and 9,859.68 is: 13,605.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.60 : 22,284.72 = 9,859.68 : x
  2. Step 2: Convert to fraction form
    16,149.60/22,284.72 = 9,859.68/x
  3. Step 3: Cross multiply
    16,149.60x = 22,284.72 × 9,859.68
  4. Step 4: Simplify right side
    16,149.60x = 219,720,208.09
  5. Step 5: Solve for x
    x = 219,720,208.09/16,149.60
  6. Step 6: Final answer
    x = 13,605.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.