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Finding the Fourth Proportional to 26,313.78, 39,471 and 8,783.61

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Solution

The fourth proportional to 26,313.78, 39,471 and 8,783.61 is: 13,175.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,313.78 : 39,471 = 8,783.61 : x
  2. Step 2: Convert to fraction form
    26,313.78/39,471 = 8,783.61/x
  3. Step 3: Cross multiply
    26,313.78x = 39,471 × 8,783.61
  4. Step 4: Simplify right side
    26,313.78x = 346,697,870.31
  5. Step 5: Solve for x
    x = 346,697,870.31/26,313.78
  6. Step 6: Final answer
    x = 13,175.53

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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.