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Finding the Fourth Proportional to 14,700.32, 20,286.67 and 7,986.08

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Solution

The fourth proportional to 14,700.32, 20,286.67 and 7,986.08 is: 11,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,700.32 : 20,286.67 = 7,986.08 : x
  2. Step 2: Convert to fraction form
    14,700.32/20,286.67 = 7,986.08/x
  3. Step 3: Cross multiply
    14,700.32x = 20,286.67 × 7,986.08
  4. Step 4: Simplify right side
    14,700.32x = 162,010,969.55
  5. Step 5: Solve for x
    x = 162,010,969.55/14,700.32
  6. Step 6: Final answer
    x = 11,020.91

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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.