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Finding the Fourth Proportional to 20,778.99, 31,178.93 and 9,686.55

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Solution

The fourth proportional to 20,778.99, 31,178.93 and 9,686.55 is: 14,534.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778.99 : 31,178.93 = 9,686.55 : x
  2. Step 2: Convert to fraction form
    20,778.99/31,178.93 = 9,686.55/x
  3. Step 3: Cross multiply
    20,778.99x = 31,178.93 × 9,686.55
  4. Step 4: Simplify right side
    20,778.99x = 302,016,215.96
  5. Step 5: Solve for x
    x = 302,016,215.96/20,778.99
  6. Step 6: Final answer
    x = 14,534.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.