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Finding the Fourth Proportional to 22,537.21, 31,101.19 and 13,466.71

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Solution

The fourth proportional to 22,537.21, 31,101.19 and 13,466.71 is: 18,583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,537.21 : 31,101.19 = 13,466.71 : x
  2. Step 2: Convert to fraction form
    22,537.21/31,101.19 = 13,466.71/x
  3. Step 3: Cross multiply
    22,537.21x = 31,101.19 × 13,466.71
  4. Step 4: Simplify right side
    22,537.21x = 418,830,672.93
  5. Step 5: Solve for x
    x = 418,830,672.93/22,537.21
  6. Step 6: Final answer
    x = 18,583.97

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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.