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Finding the Fourth Proportional to 14,242.16, 19,654.36 and 8,653.68

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Solution

The fourth proportional to 14,242.16, 19,654.36 and 8,653.68 is: 11,942.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.16 : 19,654.36 = 8,653.68 : x
  2. Step 2: Convert to fraction form
    14,242.16/19,654.36 = 8,653.68/x
  3. Step 3: Cross multiply
    14,242.16x = 19,654.36 × 8,653.68
  4. Step 4: Simplify right side
    14,242.16x = 170,082,542.04
  5. Step 5: Solve for x
    x = 170,082,542.04/14,242.16
  6. Step 6: Final answer
    x = 11,942.19

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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.