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Finding the Fourth Proportional to 25,595.72, 38,377.74 and 9,995

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Solution

The fourth proportional to 25,595.72, 38,377.74 and 9,995 is: 14,986.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,595.72 : 38,377.74 = 9,995 : x
  2. Step 2: Convert to fraction form
    25,595.72/38,377.74 = 9,995/x
  3. Step 3: Cross multiply
    25,595.72x = 38,377.74 × 9,995
  4. Step 4: Simplify right side
    25,595.72x = 383,585,511.30
  5. Step 5: Solve for x
    x = 383,585,511.30/25,595.72
  6. Step 6: Final answer
    x = 14,986.31

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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.