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Finding the Fourth Proportional to 15,778.65, 21,777.09 and 9,406.02

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Solution

The fourth proportional to 15,778.65, 21,777.09 and 9,406.02 is: 12,981.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.65 : 21,777.09 = 9,406.02 : x
  2. Step 2: Convert to fraction form
    15,778.65/21,777.09 = 9,406.02/x
  3. Step 3: Cross multiply
    15,778.65x = 21,777.09 × 9,406.02
  4. Step 4: Simplify right side
    15,778.65x = 204,835,744.08
  5. Step 5: Solve for x
    x = 204,835,744.08/15,778.65
  6. Step 6: Final answer
    x = 12,981.83

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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.