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Finding the Fourth Proportional to 22,667.95, 34,013.10 and 10,196.80

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Solution

The fourth proportional to 22,667.95, 34,013.10 and 10,196.80 is: 15,300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,667.95 : 34,013.10 = 10,196.80 : x
  2. Step 2: Convert to fraction form
    22,667.95/34,013.10 = 10,196.80/x
  3. Step 3: Cross multiply
    22,667.95x = 34,013.10 × 10,196.80
  4. Step 4: Simplify right side
    22,667.95x = 346,824,778.08
  5. Step 5: Solve for x
    x = 346,824,778.08/22,667.95
  6. Step 6: Final answer
    x = 15,300.23

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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.