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Finding the Fourth Proportional to 25,619.48, 38,174.54 and 22,824.68

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Solution

The fourth proportional to 25,619.48, 38,174.54 and 22,824.68 is: 34,010.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,619.48 : 38,174.54 = 22,824.68 : x
  2. Step 2: Convert to fraction form
    25,619.48/38,174.54 = 22,824.68/x
  3. Step 3: Cross multiply
    25,619.48x = 38,174.54 × 22,824.68
  4. Step 4: Simplify right side
    25,619.48x = 871,321,354.65
  5. Step 5: Solve for x
    x = 871,321,354.65/25,619.48
  6. Step 6: Final answer
    x = 34,010.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.