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Finding the Fourth Proportional to 22,706.78, 31,330.26 and 13,754.12

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Solution

The fourth proportional to 22,706.78, 31,330.26 and 13,754.12 is: 18,977.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.78 : 31,330.26 = 13,754.12 : x
  2. Step 2: Convert to fraction form
    22,706.78/31,330.26 = 13,754.12/x
  3. Step 3: Cross multiply
    22,706.78x = 31,330.26 × 13,754.12
  4. Step 4: Simplify right side
    22,706.78x = 430,919,999.02
  5. Step 5: Solve for x
    x = 430,919,999.02/22,706.78
  6. Step 6: Final answer
    x = 18,977.60

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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.