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Finding the Fourth Proportional to 13,952.75, 20,932.20 and 4,595.66

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Solution

The fourth proportional to 13,952.75, 20,932.20 and 4,595.66 is: 6,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.75 : 20,932.20 = 4,595.66 : x
  2. Step 2: Convert to fraction form
    13,952.75/20,932.20 = 4,595.66/x
  3. Step 3: Cross multiply
    13,952.75x = 20,932.20 × 4,595.66
  4. Step 4: Simplify right side
    13,952.75x = 96,197,169.59
  5. Step 5: Solve for x
    x = 96,197,169.59/13,952.75
  6. Step 6: Final answer
    x = 6,894.50

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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.