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Finding the Fourth Proportional to 22,800.16, 34,203.84 and 7,216.56

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Solution

The fourth proportional to 22,800.16, 34,203.84 and 7,216.56 is: 10,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,800.16 : 34,203.84 = 7,216.56 : x
  2. Step 2: Convert to fraction form
    22,800.16/34,203.84 = 7,216.56/x
  3. Step 3: Cross multiply
    22,800.16x = 34,203.84 × 7,216.56
  4. Step 4: Simplify right side
    22,800.16x = 246,834,063.59
  5. Step 5: Solve for x
    x = 246,834,063.59/22,800.16
  6. Step 6: Final answer
    x = 10,825.98

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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.