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Finding the Fourth Proportional to 21,834.93, 32,753.19 and 7,044.06

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Solution

The fourth proportional to 21,834.93, 32,753.19 and 7,044.06 is: 10,566.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,834.93 : 32,753.19 = 7,044.06 : x
  2. Step 2: Convert to fraction form
    21,834.93/32,753.19 = 7,044.06/x
  3. Step 3: Cross multiply
    21,834.93x = 32,753.19 × 7,044.06
  4. Step 4: Simplify right side
    21,834.93x = 230,715,435.55
  5. Step 5: Solve for x
    x = 230,715,435.55/21,834.93
  6. Step 6: Final answer
    x = 10,566.35

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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.