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Finding the Fourth Proportional to 23,822.84, 35,737.08 and 6,292.82

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Solution

The fourth proportional to 23,822.84, 35,737.08 and 6,292.82 is: 9,439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.84 : 35,737.08 = 6,292.82 : x
  2. Step 2: Convert to fraction form
    23,822.84/35,737.08 = 6,292.82/x
  3. Step 3: Cross multiply
    23,822.84x = 35,737.08 × 6,292.82
  4. Step 4: Simplify right side
    23,822.84x = 224,887,011.77
  5. Step 5: Solve for x
    x = 224,887,011.77/23,822.84
  6. Step 6: Final answer
    x = 9,439.97

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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.