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Finding the Fourth Proportional to 22,462.12, 33,686.34 and 9,311.40

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Solution

The fourth proportional to 22,462.12, 33,686.34 and 9,311.40 is: 13,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.12 : 33,686.34 = 9,311.40 : x
  2. Step 2: Convert to fraction form
    22,462.12/33,686.34 = 9,311.40/x
  3. Step 3: Cross multiply
    22,462.12x = 33,686.34 × 9,311.40
  4. Step 4: Simplify right side
    22,462.12x = 313,666,986.28
  5. Step 5: Solve for x
    x = 313,666,986.28/22,462.12
  6. Step 6: Final answer
    x = 13,964.26

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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.