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Finding the Fourth Proportional to 14,025.38, 19,355.02 and 7,737.75

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Solution

The fourth proportional to 14,025.38, 19,355.02 and 7,737.75 is: 10,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,025.38 : 19,355.02 = 7,737.75 : x
  2. Step 2: Convert to fraction form
    14,025.38/19,355.02 = 7,737.75/x
  3. Step 3: Cross multiply
    14,025.38x = 19,355.02 × 7,737.75
  4. Step 4: Simplify right side
    14,025.38x = 149,764,286.66
  5. Step 5: Solve for x
    x = 149,764,286.66/14,025.38
  6. Step 6: Final answer
    x = 10,678.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.