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Finding the Fourth Proportional to 25,632.82, 38,454.92 and 7,865.94

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Solution

The fourth proportional to 25,632.82, 38,454.92 and 7,865.94 is: 11,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,632.82 : 38,454.92 = 7,865.94 : x
  2. Step 2: Convert to fraction form
    25,632.82/38,454.92 = 7,865.94/x
  3. Step 3: Cross multiply
    25,632.82x = 38,454.92 × 7,865.94
  4. Step 4: Simplify right side
    25,632.82x = 302,484,054.10
  5. Step 5: Solve for x
    x = 302,484,054.10/25,632.82
  6. Step 6: Final answer
    x = 11,800.66

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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.