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Finding the Fourth Proportional to 14,862.34, 22,291.09 and 5,500.21

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Solution

The fourth proportional to 14,862.34, 22,291.09 and 5,500.21 is: 8,249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,862.34 : 22,291.09 = 5,500.21 : x
  2. Step 2: Convert to fraction form
    14,862.34/22,291.09 = 5,500.21/x
  3. Step 3: Cross multiply
    14,862.34x = 22,291.09 × 5,500.21
  4. Step 4: Simplify right side
    14,862.34x = 122,605,564.67
  5. Step 5: Solve for x
    x = 122,605,564.67/14,862.34
  6. Step 6: Final answer
    x = 8,249.41

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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.