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Finding the Fourth Proportional to 16,296.67, 22,482.70 and 9,918.15

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Solution

The fourth proportional to 16,296.67, 22,482.70 and 9,918.15 is: 13,682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,296.67 : 22,482.70 = 9,918.15 : x
  2. Step 2: Convert to fraction form
    16,296.67/22,482.70 = 9,918.15/x
  3. Step 3: Cross multiply
    16,296.67x = 22,482.70 × 9,918.15
  4. Step 4: Simplify right side
    16,296.67x = 222,986,791.01
  5. Step 5: Solve for x
    x = 222,986,791.01/16,296.67
  6. Step 6: Final answer
    x = 13,682.97

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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.