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Finding the Fourth Proportional to 22,545.54, 33,830.46 and 9,406.94

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Solution

The fourth proportional to 22,545.54, 33,830.46 and 9,406.94 is: 14,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,545.54 : 33,830.46 = 9,406.94 : x
  2. Step 2: Convert to fraction form
    22,545.54/33,830.46 = 9,406.94/x
  3. Step 3: Cross multiply
    22,545.54x = 33,830.46 × 9,406.94
  4. Step 4: Simplify right side
    22,545.54x = 318,240,938.24
  5. Step 5: Solve for x
    x = 318,240,938.24/22,545.54
  6. Step 6: Final answer
    x = 14,115.47

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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.