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Finding the Fourth Proportional to 22,876.40, 31,567.90 and 12,803.12

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Solution

The fourth proportional to 22,876.40, 31,567.90 and 12,803.12 is: 17,667.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,876.40 : 31,567.90 = 12,803.12 : x
  2. Step 2: Convert to fraction form
    22,876.40/31,567.90 = 12,803.12/x
  3. Step 3: Cross multiply
    22,876.40x = 31,567.90 × 12,803.12
  4. Step 4: Simplify right side
    22,876.40x = 404,167,611.85
  5. Step 5: Solve for x
    x = 404,167,611.85/22,876.40
  6. Step 6: Final answer
    x = 17,667.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.