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Finding the Fourth Proportional to 22,647.76, 31,253.90 and 13,214.50

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Solution

The fourth proportional to 22,647.76, 31,253.90 and 13,214.50 is: 18,236.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.76 : 31,253.90 = 13,214.50 : x
  2. Step 2: Convert to fraction form
    22,647.76/31,253.90 = 13,214.50/x
  3. Step 3: Cross multiply
    22,647.76x = 31,253.90 × 13,214.50
  4. Step 4: Simplify right side
    22,647.76x = 413,004,661.55
  5. Step 5: Solve for x
    x = 413,004,661.55/22,647.76
  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.