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Finding the Fourth Proportional to 19,149.77, 28,737.41 and 9,289.77

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Solution

The fourth proportional to 19,149.77, 28,737.41 and 9,289.77 is: 13,940.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,149.77 : 28,737.41 = 9,289.77 : x
  2. Step 2: Convert to fraction form
    19,149.77/28,737.41 = 9,289.77/x
  3. Step 3: Cross multiply
    19,149.77x = 28,737.41 × 9,289.77
  4. Step 4: Simplify right side
    19,149.77x = 266,963,882.85
  5. Step 5: Solve for x
    x = 266,963,882.85/19,149.77
  6. Step 6: Final answer
    x = 13,940.84

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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.