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Finding the Fourth Proportional to 20,794.52, 31,208.18 and 9,695.50

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Solution

The fourth proportional to 20,794.52, 31,208.18 and 9,695.50 is: 14,550.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,794.52 : 31,208.18 = 9,695.50 : x
  2. Step 2: Convert to fraction form
    20,794.52/31,208.18 = 9,695.50/x
  3. Step 3: Cross multiply
    20,794.52x = 31,208.18 × 9,695.50
  4. Step 4: Simplify right side
    20,794.52x = 302,578,909.19
  5. Step 5: Solve for x
    x = 302,578,909.19/20,794.52
  6. Step 6: Final answer
    x = 14,550.90

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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.