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Finding the Fourth Proportional to 17,282.60, 23,844.02 and 9,727.72

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Solution

The fourth proportional to 17,282.60, 23,844.02 and 9,727.72 is: 13,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282.60 : 23,844.02 = 9,727.72 : x
  2. Step 2: Convert to fraction form
    17,282.60/23,844.02 = 9,727.72/x
  3. Step 3: Cross multiply
    17,282.60x = 23,844.02 × 9,727.72
  4. Step 4: Simplify right side
    17,282.60x = 231,947,950.23
  5. Step 5: Solve for x
    x = 231,947,950.23/17,282.60
  6. Step 6: Final answer
    x = 13,420.89

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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.