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Finding the Fourth Proportional to 22,816.40, 34,221.18 and 7,232

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Solution

The fourth proportional to 22,816.40, 34,221.18 and 7,232 is: 10,846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816.40 : 34,221.18 = 7,232 : x
  2. Step 2: Convert to fraction form
    22,816.40/34,221.18 = 7,232/x
  3. Step 3: Cross multiply
    22,816.40x = 34,221.18 × 7,232
  4. Step 4: Simplify right side
    22,816.40x = 247,487,573.76
  5. Step 5: Solve for x
    x = 247,487,573.76/22,816.40
  6. Step 6: Final answer
    x = 10,846.92

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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.