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Finding the Fourth Proportional to 29,823.54, 41,155.67 and 16,394.81

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Solution

The fourth proportional to 29,823.54, 41,155.67 and 16,394.81 is: 22,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,823.54 : 41,155.67 = 16,394.81 : x
  2. Step 2: Convert to fraction form
    29,823.54/41,155.67 = 16,394.81/x
  3. Step 3: Cross multiply
    29,823.54x = 41,155.67 × 16,394.81
  4. Step 4: Simplify right side
    29,823.54x = 674,739,102.32
  5. Step 5: Solve for x
    x = 674,739,102.32/29,823.54
  6. Step 6: Final answer
    x = 22,624.38

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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.