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Finding the Fourth Proportional to 22,954.46, 31,677.08 and 13,400.91

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Solution

The fourth proportional to 22,954.46, 31,677.08 and 13,400.91 is: 18,493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,954.46 : 31,677.08 = 13,400.91 : x
  2. Step 2: Convert to fraction form
    22,954.46/31,677.08 = 13,400.91/x
  3. Step 3: Cross multiply
    22,954.46x = 31,677.08 × 13,400.91
  4. Step 4: Simplify right side
    22,954.46x = 424,501,631.14
  5. Step 5: Solve for x
    x = 424,501,631.14/22,954.46
  6. Step 6: Final answer
    x = 18,493.21

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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.