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Finding the Fourth Proportional to 14,500.38, 21,737.88 and 5,138.94

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Solution

The fourth proportional to 14,500.38, 21,737.88 and 5,138.94 is: 7,703.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,500.38 : 21,737.88 = 5,138.94 : x
  2. Step 2: Convert to fraction form
    14,500.38/21,737.88 = 5,138.94/x
  3. Step 3: Cross multiply
    14,500.38x = 21,737.88 × 5,138.94
  4. Step 4: Simplify right side
    14,500.38x = 111,709,661.05
  5. Step 5: Solve for x
    x = 111,709,661.05/14,500.38
  6. Step 6: Final answer
    x = 7,703.91

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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.