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Finding the Fourth Proportional to 26,292, 39,443.76 and 9,876

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Solution

The fourth proportional to 26,292, 39,443.76 and 9,876 is: 14,816.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,292 : 39,443.76 = 9,876 : x
  2. Step 2: Convert to fraction form
    26,292/39,443.76 = 9,876/x
  3. Step 3: Cross multiply
    26,292x = 39,443.76 × 9,876
  4. Step 4: Simplify right side
    26,292x = 389,546,573.76
  5. Step 5: Solve for x
    x = 389,546,573.76/26,292
  6. Step 6: Final answer
    x = 14,816.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.