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Finding the Fourth Proportional to 14,425.16, 21,633.42 and 5,189

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Solution

The fourth proportional to 14,425.16, 21,633.42 and 5,189 is: 7,781.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,425.16 : 21,633.42 = 5,189 : x
  2. Step 2: Convert to fraction form
    14,425.16/21,633.42 = 5,189/x
  3. Step 3: Cross multiply
    14,425.16x = 21,633.42 × 5,189
  4. Step 4: Simplify right side
    14,425.16x = 112,255,816.38
  5. Step 5: Solve for x
    x = 112,255,816.38/14,425.16
  6. Step 6: Final answer
    x = 7,781.95

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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.