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Finding the Fourth Proportional to 18,823.14, 28,217.43 and 6,502.50

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Solution

The fourth proportional to 18,823.14, 28,217.43 and 6,502.50 is: 9,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,823.14 : 28,217.43 = 6,502.50 : x
  2. Step 2: Convert to fraction form
    18,823.14/28,217.43 = 6,502.50/x
  3. Step 3: Cross multiply
    18,823.14x = 28,217.43 × 6,502.50
  4. Step 4: Simplify right side
    18,823.14x = 183,483,838.58
  5. Step 5: Solve for x
    x = 183,483,838.58/18,823.14
  6. Step 6: Final answer
    x = 9,747.78

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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.