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Finding the Fourth Proportional to 22,462.92, 33,686.18 and 7,667.87

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Solution

The fourth proportional to 22,462.92, 33,686.18 and 7,667.87 is: 11,499.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.92 : 33,686.18 = 7,667.87 : x
  2. Step 2: Convert to fraction form
    22,462.92/33,686.18 = 7,667.87/x
  3. Step 3: Cross multiply
    22,462.92x = 33,686.18 × 7,667.87
  4. Step 4: Simplify right side
    22,462.92x = 258,301,071.02
  5. Step 5: Solve for x
    x = 258,301,071.02/22,462.92
  6. Step 6: Final answer
    x = 11,499.00

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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.