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Finding the Fourth Proportional to 15,642.68, 21,589.68 and 9,359.24

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Solution

The fourth proportional to 15,642.68, 21,589.68 and 9,359.24 is: 12,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.68 : 21,589.68 = 9,359.24 : x
  2. Step 2: Convert to fraction form
    15,642.68/21,589.68 = 9,359.24/x
  3. Step 3: Cross multiply
    15,642.68x = 21,589.68 × 9,359.24
  4. Step 4: Simplify right side
    15,642.68x = 202,062,996.64
  5. Step 5: Solve for x
    x = 202,062,996.64/15,642.68
  6. Step 6: Final answer
    x = 12,917.42

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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.