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Finding the Fourth Proportional to 22,656.15, 31,265.70 and 13,222.89

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Solution

The fourth proportional to 22,656.15, 31,265.70 and 13,222.89 is: 18,247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.15 : 31,265.70 = 13,222.89 : x
  2. Step 2: Convert to fraction form
    22,656.15/31,265.70 = 13,222.89/x
  3. Step 3: Cross multiply
    22,656.15x = 31,265.70 × 13,222.89
  4. Step 4: Simplify right side
    22,656.15x = 413,422,911.87
  5. Step 5: Solve for x
    x = 413,422,911.87/22,656.15
  6. Step 6: Final answer
    x = 18,247.71

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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.