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Finding the Fourth Proportional to 23,789.70, 35,658.63 and 9,922.50

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Solution

The fourth proportional to 23,789.70, 35,658.63 and 9,922.50 is: 14,872.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,789.70 : 35,658.63 = 9,922.50 : x
  2. Step 2: Convert to fraction form
    23,789.70/35,658.63 = 9,922.50/x
  3. Step 3: Cross multiply
    23,789.70x = 35,658.63 × 9,922.50
  4. Step 4: Simplify right side
    23,789.70x = 353,822,756.18
  5. Step 5: Solve for x
    x = 353,822,756.18/23,789.70
  6. Step 6: Final answer
    x = 14,872.94

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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.