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Finding the Fourth Proportional to 26,411.86, 39,621.04 and 9,769.06

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Solution

The fourth proportional to 26,411.86, 39,621.04 and 9,769.06 is: 14,654.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,411.86 : 39,621.04 = 9,769.06 : x
  2. Step 2: Convert to fraction form
    26,411.86/39,621.04 = 9,769.06/x
  3. Step 3: Cross multiply
    26,411.86x = 39,621.04 × 9,769.06
  4. Step 4: Simplify right side
    26,411.86x = 387,060,317.02
  5. Step 5: Solve for x
    x = 387,060,317.02/26,411.86
  6. Step 6: Final answer
    x = 14,654.79

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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.