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Finding the Fourth Proportional to 19,662.80, 29,482.10 and 9,654.82

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Solution

The fourth proportional to 19,662.80, 29,482.10 and 9,654.82 is: 14,476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,662.80 : 29,482.10 = 9,654.82 : x
  2. Step 2: Convert to fraction form
    19,662.80/29,482.10 = 9,654.82/x
  3. Step 3: Cross multiply
    19,662.80x = 29,482.10 × 9,654.82
  4. Step 4: Simplify right side
    19,662.80x = 284,644,368.72
  5. Step 5: Solve for x
    x = 284,644,368.72/19,662.80
  6. Step 6: Final answer
    x = 14,476.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.