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Finding the Fourth Proportional to 14,811.20, 22,217.96 and 4,950.50

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Solution

The fourth proportional to 14,811.20, 22,217.96 and 4,950.50 is: 7,426.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,811.20 : 22,217.96 = 4,950.50 : x
  2. Step 2: Convert to fraction form
    14,811.20/22,217.96 = 4,950.50/x
  3. Step 3: Cross multiply
    14,811.20x = 22,217.96 × 4,950.50
  4. Step 4: Simplify right side
    14,811.20x = 109,990,010.98
  5. Step 5: Solve for x
    x = 109,990,010.98/14,811.20
  6. Step 6: Final answer
    x = 7,426.14

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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.