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Finding the Fourth Proportional to 25,849.24, 38,773.86 and 7,381.24

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Solution

The fourth proportional to 25,849.24, 38,773.86 and 7,381.24 is: 11,071.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,849.24 : 38,773.86 = 7,381.24 : x
  2. Step 2: Convert to fraction form
    25,849.24/38,773.86 = 7,381.24/x
  3. Step 3: Cross multiply
    25,849.24x = 38,773.86 × 7,381.24
  4. Step 4: Simplify right side
    25,849.24x = 286,199,166.39
  5. Step 5: Solve for x
    x = 286,199,166.39/25,849.24
  6. Step 6: Final answer
    x = 11,071.86

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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.