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Finding the Fourth Proportional to 17,348.68, 23,941.24 and 9,391

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Solution

The fourth proportional to 17,348.68, 23,941.24 and 9,391 is: 12,959.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,348.68 : 23,941.24 = 9,391 : x
  2. Step 2: Convert to fraction form
    17,348.68/23,941.24 = 9,391/x
  3. Step 3: Cross multiply
    17,348.68x = 23,941.24 × 9,391
  4. Step 4: Simplify right side
    17,348.68x = 224,832,184.84
  5. Step 5: Solve for x
    x = 224,832,184.84/17,348.68
  6. Step 6: Final answer
    x = 12,959.61

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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.