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Finding the Fourth Proportional to 18,830.25, 28,246.68 and 7,737.50

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Solution

The fourth proportional to 18,830.25, 28,246.68 and 7,737.50 is: 11,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,830.25 : 28,246.68 = 7,737.50 : x
  2. Step 2: Convert to fraction form
    18,830.25/28,246.68 = 7,737.50/x
  3. Step 3: Cross multiply
    18,830.25x = 28,246.68 × 7,737.50
  4. Step 4: Simplify right side
    18,830.25x = 218,558,545.27
  5. Step 5: Solve for x
    x = 218,558,545.27/18,830.25
  6. Step 6: Final answer
    x = 11,606.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.