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Finding the Fourth Proportional to 21,216.54, 31,822.56 and 8,738.10

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Solution

The fourth proportional to 21,216.54, 31,822.56 and 8,738.10 is: 13,106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,216.54 : 31,822.56 = 8,738.10 : x
  2. Step 2: Convert to fraction form
    21,216.54/31,822.56 = 8,738.10/x
  3. Step 3: Cross multiply
    21,216.54x = 31,822.56 × 8,738.10
  4. Step 4: Simplify right side
    21,216.54x = 278,068,711.54
  5. Step 5: Solve for x
    x = 278,068,711.54/21,216.54
  6. Step 6: Final answer
    x = 13,106.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.