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Finding the Fourth Proportional to 26,350.25, 39,524.15 and 9,709.16

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Solution

The fourth proportional to 26,350.25, 39,524.15 and 9,709.16 is: 14,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,350.25 : 39,524.15 = 9,709.16 : x
  2. Step 2: Convert to fraction form
    26,350.25/39,524.15 = 9,709.16/x
  3. Step 3: Cross multiply
    26,350.25x = 39,524.15 × 9,709.16
  4. Step 4: Simplify right side
    26,350.25x = 383,746,050.05
  5. Step 5: Solve for x
    x = 383,746,050.05/26,350.25
  6. Step 6: Final answer
    x = 14,563.28

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