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Finding the Fourth Proportional to 29,863.85, 41,210.61 and 16,434.76

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Solution

The fourth proportional to 29,863.85, 41,210.61 and 16,434.76 is: 22,679.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,863.85 : 41,210.61 = 16,434.76 : x
  2. Step 2: Convert to fraction form
    29,863.85/41,210.61 = 16,434.76/x
  3. Step 3: Cross multiply
    29,863.85x = 41,210.61 × 16,434.76
  4. Step 4: Simplify right side
    29,863.85x = 677,286,381.78
  5. Step 5: Solve for x
    x = 677,286,381.78/29,863.85
  6. Step 6: Final answer
    x = 22,679.14

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