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Finding the Fourth Proportional to 17,340.08, 23,929.16 and 9,382.23

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Solution

The fourth proportional to 17,340.08, 23,929.16 and 9,382.23 is: 12,947.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,340.08 : 23,929.16 = 9,382.23 : x
  2. Step 2: Convert to fraction form
    17,340.08/23,929.16 = 9,382.23/x
  3. Step 3: Cross multiply
    17,340.08x = 23,929.16 × 9,382.23
  4. Step 4: Simplify right side
    17,340.08x = 224,508,835.92
  5. Step 5: Solve for x
    x = 224,508,835.92/17,340.08
  6. Step 6: Final answer
    x = 12,947.40

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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.