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Finding the Fourth Proportional to 12,921.86, 17,830.68 and 7,255.38

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Solution

The fourth proportional to 12,921.86, 17,830.68 and 7,255.38 is: 10,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,921.86 : 17,830.68 = 7,255.38 : x
  2. Step 2: Convert to fraction form
    12,921.86/17,830.68 = 7,255.38/x
  3. Step 3: Cross multiply
    12,921.86x = 17,830.68 × 7,255.38
  4. Step 4: Simplify right side
    12,921.86x = 129,368,359.06
  5. Step 5: Solve for x
    x = 129,368,359.06/12,921.86
  6. Step 6: Final answer
    x = 10,011.59

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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.