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Finding the Fourth Proportional to 14,986.87, 20,690.16 and 9,020

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Solution

The fourth proportional to 14,986.87, 20,690.16 and 9,020 is: 12,452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,986.87 : 20,690.16 = 9,020 : x
  2. Step 2: Convert to fraction form
    14,986.87/20,690.16 = 9,020/x
  3. Step 3: Cross multiply
    14,986.87x = 20,690.16 × 9,020
  4. Step 4: Simplify right side
    14,986.87x = 186,625,243.20
  5. Step 5: Solve for x
    x = 186,625,243.20/14,986.87
  6. Step 6: Final answer
    x = 12,452.59

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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.