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Finding the Fourth Proportional to 25,702.82, 38,557.84 and 7,934.93

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Solution

The fourth proportional to 25,702.82, 38,557.84 and 7,934.93 is: 11,903.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,702.82 : 38,557.84 = 7,934.93 : x
  2. Step 2: Convert to fraction form
    25,702.82/38,557.84 = 7,934.93/x
  3. Step 3: Cross multiply
    25,702.82x = 38,557.84 × 7,934.93
  4. Step 4: Simplify right side
    25,702.82x = 305,953,761.35
  5. Step 5: Solve for x
    x = 305,953,761.35/25,702.82
  6. Step 6: Final answer
    x = 11,903.51

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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.