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Finding the Fourth Proportional to 25,842.64, 38,764.74 and 7,122.98

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Solution

The fourth proportional to 25,842.64, 38,764.74 and 7,122.98 is: 10,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.64 : 38,764.74 = 7,122.98 : x
  2. Step 2: Convert to fraction form
    25,842.64/38,764.74 = 7,122.98/x
  3. Step 3: Cross multiply
    25,842.64x = 38,764.74 × 7,122.98
  4. Step 4: Simplify right side
    25,842.64x = 276,120,564.64
  5. Step 5: Solve for x
    x = 276,120,564.64/25,842.64
  6. Step 6: Final answer
    x = 10,684.69

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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.