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Finding the Fourth Proportional to 19,841.97, 29,748.39 and 9,461.01

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Solution

The fourth proportional to 19,841.97, 29,748.39 and 9,461.01 is: 14,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,841.97 : 29,748.39 = 9,461.01 : x
  2. Step 2: Convert to fraction form
    19,841.97/29,748.39 = 9,461.01/x
  3. Step 3: Cross multiply
    19,841.97x = 29,748.39 × 9,461.01
  4. Step 4: Simplify right side
    19,841.97x = 281,449,815.27
  5. Step 5: Solve for x
    x = 281,449,815.27/19,841.97
  6. Step 6: Final answer
    x = 14,184.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.