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Finding the Fourth Proportional to 14,854.12, 20,481.06 and 9,549.16

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Solution

The fourth proportional to 14,854.12, 20,481.06 and 9,549.16 is: 13,166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.12 : 20,481.06 = 9,549.16 : x
  2. Step 2: Convert to fraction form
    14,854.12/20,481.06 = 9,549.16/x
  3. Step 3: Cross multiply
    14,854.12x = 20,481.06 × 9,549.16
  4. Step 4: Simplify right side
    14,854.12x = 195,576,918.91
  5. Step 5: Solve for x
    x = 195,576,918.91/14,854.12
  6. Step 6: Final answer
    x = 13,166.51

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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.