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Finding the Fourth Proportional to 25,876.51, 38,814.67 and 7,156.50

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Solution

The fourth proportional to 25,876.51, 38,814.67 and 7,156.50 is: 10,734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,876.51 : 38,814.67 = 7,156.50 : x
  2. Step 2: Convert to fraction form
    25,876.51/38,814.67 = 7,156.50/x
  3. Step 3: Cross multiply
    25,876.51x = 38,814.67 × 7,156.50
  4. Step 4: Simplify right side
    25,876.51x = 277,777,185.86
  5. Step 5: Solve for x
    x = 277,777,185.86/25,876.51
  6. Step 6: Final answer
    x = 10,734.72

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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.