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Finding the Fourth Proportional to 22,647.78, 31,253.88 and 13,214.52

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Solution

The fourth proportional to 22,647.78, 31,253.88 and 13,214.52 is: 18,236.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.78 : 31,253.88 = 13,214.52 : x
  2. Step 2: Convert to fraction form
    22,647.78/31,253.88 = 13,214.52/x
  3. Step 3: Cross multiply
    22,647.78x = 31,253.88 × 13,214.52
  4. Step 4: Simplify right side
    22,647.78x = 413,005,022.34
  5. Step 5: Solve for x
    x = 413,005,022.34/22,647.78
  6. Step 6: Final answer
    x = 18,236.00

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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.