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Finding the Fourth Proportional to 17,340.15, 23,929.23 and 9,382.20

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Solution

The fourth proportional to 17,340.15, 23,929.23 and 9,382.20 is: 12,947.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,340.15 : 23,929.23 = 9,382.20 : x
  2. Step 2: Convert to fraction form
    17,340.15/23,929.23 = 9,382.20/x
  3. Step 3: Cross multiply
    17,340.15x = 23,929.23 × 9,382.20
  4. Step 4: Simplify right side
    17,340.15x = 224,508,821.71
  5. Step 5: Solve for x
    x = 224,508,821.71/17,340.15
  6. Step 6: Final answer
    x = 12,947.34

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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.