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Finding the Fourth Proportional to 19,212.50, 28,811.81 and 8,120.05

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Solution

The fourth proportional to 19,212.50, 28,811.81 and 8,120.05 is: 12,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,212.50 : 28,811.81 = 8,120.05 : x
  2. Step 2: Convert to fraction form
    19,212.50/28,811.81 = 8,120.05/x
  3. Step 3: Cross multiply
    19,212.50x = 28,811.81 × 8,120.05
  4. Step 4: Simplify right side
    19,212.50x = 233,953,337.79
  5. Step 5: Solve for x
    x = 233,953,337.79/19,212.50
  6. Step 6: Final answer
    x = 12,177.14

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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.