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Finding the Fourth Proportional to 14,715, 22,057.92 and 6,909.84

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Solution

The fourth proportional to 14,715, 22,057.92 and 6,909.84 is: 10,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,715 : 22,057.92 = 6,909.84 : x
  2. Step 2: Convert to fraction form
    14,715/22,057.92 = 6,909.84/x
  3. Step 3: Cross multiply
    14,715x = 22,057.92 × 6,909.84
  4. Step 4: Simplify right side
    14,715x = 152,416,697.93
  5. Step 5: Solve for x
    x = 152,416,697.93/14,715
  6. Step 6: Final answer
    x = 10,357.91

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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.