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Finding the Fourth Proportional to 29,822.70, 41,156.91 and 17,886.54

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Solution

The fourth proportional to 29,822.70, 41,156.91 and 17,886.54 is: 24,684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,822.70 : 41,156.91 = 17,886.54 : x
  2. Step 2: Convert to fraction form
    29,822.70/41,156.91 = 17,886.54/x
  3. Step 3: Cross multiply
    29,822.70x = 41,156.91 × 17,886.54
  4. Step 4: Simplify right side
    29,822.70x = 736,154,716.99
  5. Step 5: Solve for x
    x = 736,154,716.99/29,822.70
  6. Step 6: Final answer
    x = 24,684.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.