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Finding the Fourth Proportional to 14,773.55, 22,108.28 and 9,229.50

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Solution

The fourth proportional to 14,773.55, 22,108.28 and 9,229.50 is: 13,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,773.55 : 22,108.28 = 9,229.50 : x
  2. Step 2: Convert to fraction form
    14,773.55/22,108.28 = 9,229.50/x
  3. Step 3: Cross multiply
    14,773.55x = 22,108.28 × 9,229.50
  4. Step 4: Simplify right side
    14,773.55x = 204,048,324.11
  5. Step 5: Solve for x
    x = 204,048,324.11/14,773.55
  6. Step 6: Final answer
    x = 13,811.74

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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.