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Finding the Fourth Proportional to 29,818.96, 41,146.86 and 17,882.80

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Solution

The fourth proportional to 29,818.96, 41,146.86 and 17,882.80 is: 24,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,818.96 : 41,146.86 = 17,882.80 : x
  2. Step 2: Convert to fraction form
    29,818.96/41,146.86 = 17,882.80/x
  3. Step 3: Cross multiply
    29,818.96x = 41,146.86 × 17,882.80
  4. Step 4: Simplify right side
    29,818.96x = 735,821,068.01
  5. Step 5: Solve for x
    x = 735,821,068.01/29,818.96
  6. Step 6: Final answer
    x = 24,676.28

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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.