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Finding the Fourth Proportional to 14,801.16, 22,184.49 and 5,434.11

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Solution

The fourth proportional to 14,801.16, 22,184.49 and 5,434.11 is: 8,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,801.16 : 22,184.49 = 5,434.11 : x
  2. Step 2: Convert to fraction form
    14,801.16/22,184.49 = 5,434.11/x
  3. Step 3: Cross multiply
    14,801.16x = 22,184.49 × 5,434.11
  4. Step 4: Simplify right side
    14,801.16x = 120,552,958.95
  5. Step 5: Solve for x
    x = 120,552,958.95/14,801.16
  6. Step 6: Final answer
    x = 8,144.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.