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Finding the Fourth Proportional to 17,339.82, 23,929.14 and 9,382.20

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Solution

The fourth proportional to 17,339.82, 23,929.14 and 9,382.20 is: 12,947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,339.82 : 23,929.14 = 9,382.20 : x
  2. Step 2: Convert to fraction form
    17,339.82/23,929.14 = 9,382.20/x
  3. Step 3: Cross multiply
    17,339.82x = 23,929.14 × 9,382.20
  4. Step 4: Simplify right side
    17,339.82x = 224,507,977.31
  5. Step 5: Solve for x
    x = 224,507,977.31/17,339.82
  6. Step 6: Final answer
    x = 12,947.54

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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.