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Finding the Fourth Proportional to 17,339.90, 23,929.14 and 9,382.16

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Solution

The fourth proportional to 17,339.90, 23,929.14 and 9,382.16 is: 12,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,339.90 : 23,929.14 = 9,382.16 : x
  2. Step 2: Convert to fraction form
    17,339.90/23,929.14 = 9,382.16/x
  3. Step 3: Cross multiply
    17,339.90x = 23,929.14 × 9,382.16
  4. Step 4: Simplify right side
    17,339.90x = 224,507,020.14
  5. Step 5: Solve for x
    x = 224,507,020.14/17,339.90
  6. Step 6: Final answer
    x = 12,947.42

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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.