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Finding the Fourth Proportional to 26,863, 40,294.50 and 10,447

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Solution

The fourth proportional to 26,863, 40,294.50 and 10,447 is: 15,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,863 : 40,294.50 = 10,447 : x
  2. Step 2: Convert to fraction form
    26,863/40,294.50 = 10,447/x
  3. Step 3: Cross multiply
    26,863x = 40,294.50 × 10,447
  4. Step 4: Simplify right side
    26,863x = 420,956,641.50
  5. Step 5: Solve for x
    x = 420,956,641.50/26,863
  6. Step 6: Final answer
    x = 15,670.50

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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.