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Finding the Fourth Proportional to 21,834.28, 32,751.48 and 7,044.28

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Solution

The fourth proportional to 21,834.28, 32,751.48 and 7,044.28 is: 10,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,834.28 : 32,751.48 = 7,044.28 : x
  2. Step 2: Convert to fraction form
    21,834.28/32,751.48 = 7,044.28/x
  3. Step 3: Cross multiply
    21,834.28x = 32,751.48 × 7,044.28
  4. Step 4: Simplify right side
    21,834.28x = 230,710,595.53
  5. Step 5: Solve for x
    x = 230,710,595.53/21,834.28
  6. Step 6: Final answer
    x = 10,566.44

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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.