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Finding the Fourth Proportional to 17,341.52, 23,931 and 9,684.38

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Solution

The fourth proportional to 17,341.52, 23,931 and 9,684.38 is: 13,364.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,341.52 : 23,931 = 9,684.38 : x
  2. Step 2: Convert to fraction form
    17,341.52/23,931 = 9,684.38/x
  3. Step 3: Cross multiply
    17,341.52x = 23,931 × 9,684.38
  4. Step 4: Simplify right side
    17,341.52x = 231,756,778.13
  5. Step 5: Solve for x
    x = 231,756,778.13/17,341.52
  6. Step 6: Final answer
    x = 13,364.28

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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.