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Finding the Fourth Proportional to 14,700.20, 22,035.20 and 5,811.92

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Solution

The fourth proportional to 14,700.20, 22,035.20 and 5,811.92 is: 8,711.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,700.20 : 22,035.20 = 5,811.92 : x
  2. Step 2: Convert to fraction form
    14,700.20/22,035.20 = 5,811.92/x
  3. Step 3: Cross multiply
    14,700.20x = 22,035.20 × 5,811.92
  4. Step 4: Simplify right side
    14,700.20x = 128,066,819.58
  5. Step 5: Solve for x
    x = 128,066,819.58/14,700.20
  6. Step 6: Final answer
    x = 8,711.91

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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.