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Finding the Fourth Proportional to 22,773.98, 31,428.88 and 13,213.15

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Solution

The fourth proportional to 22,773.98, 31,428.88 and 13,213.15 is: 18,234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773.98 : 31,428.88 = 13,213.15 : x
  2. Step 2: Convert to fraction form
    22,773.98/31,428.88 = 13,213.15/x
  3. Step 3: Cross multiply
    22,773.98x = 31,428.88 × 13,213.15
  4. Step 4: Simplify right side
    22,773.98x = 415,274,394.17
  5. Step 5: Solve for x
    x = 415,274,394.17/22,773.98
  6. Step 6: Final answer
    x = 18,234.60

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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.