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Finding the Fourth Proportional to 22,902.98, 31,590.34 and 16,111.41

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Solution

The fourth proportional to 22,902.98, 31,590.34 and 16,111.41 is: 22,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.98 : 31,590.34 = 16,111.41 : x
  2. Step 2: Convert to fraction form
    22,902.98/31,590.34 = 16,111.41/x
  3. Step 3: Cross multiply
    22,902.98x = 31,590.34 × 16,111.41
  4. Step 4: Simplify right side
    22,902.98x = 508,964,919.78
  5. Step 5: Solve for x
    x = 508,964,919.78/22,902.98
  6. Step 6: Final answer
    x = 22,222.65

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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.