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Finding the Fourth Proportional to 22,667.16, 34,001.96 and 7,086

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Solution

The fourth proportional to 22,667.16, 34,001.96 and 7,086 is: 10,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,667.16 : 34,001.96 = 7,086 : x
  2. Step 2: Convert to fraction form
    22,667.16/34,001.96 = 7,086/x
  3. Step 3: Cross multiply
    22,667.16x = 34,001.96 × 7,086
  4. Step 4: Simplify right side
    22,667.16x = 240,937,853.13
  5. Step 5: Solve for x
    x = 240,937,853.13/22,667.16
  6. Step 6: Final answer
    x = 10,629.38

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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.