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Finding the Fourth Proportional to 14,993.91, 20,691.85 and 9,697.95

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Solution

The fourth proportional to 14,993.91, 20,691.85 and 9,697.95 is: 13,383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,993.91 : 20,691.85 = 9,697.95 : x
  2. Step 2: Convert to fraction form
    14,993.91/20,691.85 = 9,697.95/x
  3. Step 3: Cross multiply
    14,993.91x = 20,691.85 × 9,697.95
  4. Step 4: Simplify right side
    14,993.91x = 200,668,526.71
  5. Step 5: Solve for x
    x = 200,668,526.71/14,993.91
  6. Step 6: Final answer
    x = 13,383.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.