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Finding the Fourth Proportional to 25,382.25, 38,075.85 and 6,914.25

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Solution

The fourth proportional to 25,382.25, 38,075.85 and 6,914.25 is: 10,372.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,382.25 : 38,075.85 = 6,914.25 : x
  2. Step 2: Convert to fraction form
    25,382.25/38,075.85 = 6,914.25/x
  3. Step 3: Cross multiply
    25,382.25x = 38,075.85 × 6,914.25
  4. Step 4: Simplify right side
    25,382.25x = 263,265,945.86
  5. Step 5: Solve for x
    x = 263,265,945.86/25,382.25
  6. Step 6: Final answer
    x = 10,372.05

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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.