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Finding the Fourth Proportional to 19,687.50, 29,536.11 and 5,836.50

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Solution

The fourth proportional to 19,687.50, 29,536.11 and 5,836.50 is: 8,756.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,687.50 : 29,536.11 = 5,836.50 : x
  2. Step 2: Convert to fraction form
    19,687.50/29,536.11 = 5,836.50/x
  3. Step 3: Cross multiply
    19,687.50x = 29,536.11 × 5,836.50
  4. Step 4: Simplify right side
    19,687.50x = 172,387,506.02
  5. Step 5: Solve for x
    x = 172,387,506.02/19,687.50
  6. Step 6: Final answer
    x = 8,756.19

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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.