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Finding the Fourth Proportional to 25,075.38, 34,604.01 and 14,464.92

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Solution

The fourth proportional to 25,075.38, 34,604.01 and 14,464.92 is: 19,961.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,075.38 : 34,604.01 = 14,464.92 : x
  2. Step 2: Convert to fraction form
    25,075.38/34,604.01 = 14,464.92/x
  3. Step 3: Cross multiply
    25,075.38x = 34,604.01 × 14,464.92
  4. Step 4: Simplify right side
    25,075.38x = 500,544,236.33
  5. Step 5: Solve for x
    x = 500,544,236.33/25,075.38
  6. Step 6: Final answer
    x = 19,961.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.