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Finding the Fourth Proportional to 26,314.50, 39,487.31 and 9,686.21

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Solution

The fourth proportional to 26,314.50, 39,487.31 and 9,686.21 is: 14,535.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,314.50 : 39,487.31 = 9,686.21 : x
  2. Step 2: Convert to fraction form
    26,314.50/39,487.31 = 9,686.21/x
  3. Step 3: Cross multiply
    26,314.50x = 39,487.31 × 9,686.21
  4. Step 4: Simplify right side
    26,314.50x = 382,482,131.13
  5. Step 5: Solve for x
    x = 382,482,131.13/26,314.50
  6. Step 6: Final answer
    x = 14,535.03

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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.