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Finding the Fourth Proportional to 22,913.50, 31,620.56 and 13,961

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Solution

The fourth proportional to 22,913.50, 31,620.56 and 13,961 is: 19,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,913.50 : 31,620.56 = 13,961 : x
  2. Step 2: Convert to fraction form
    22,913.50/31,620.56 = 13,961/x
  3. Step 3: Cross multiply
    22,913.50x = 31,620.56 × 13,961
  4. Step 4: Simplify right side
    22,913.50x = 441,454,638.16
  5. Step 5: Solve for x
    x = 441,454,638.16/22,913.50
  6. Step 6: Final answer
    x = 19,266.14

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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.