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Finding the Fourth Proportional to 14,780.50, 22,177.24 and 8,624.50

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Solution

The fourth proportional to 14,780.50, 22,177.24 and 8,624.50 is: 12,940.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,780.50 : 22,177.24 = 8,624.50 : x
  2. Step 2: Convert to fraction form
    14,780.50/22,177.24 = 8,624.50/x
  3. Step 3: Cross multiply
    14,780.50x = 22,177.24 × 8,624.50
  4. Step 4: Simplify right side
    14,780.50x = 191,267,606.38
  5. Step 5: Solve for x
    x = 191,267,606.38/14,780.50
  6. Step 6: Final answer
    x = 12,940.54

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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.