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Finding the Fourth Proportional to 19,517.68, 29,278.01 and 9,654.31

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Solution

The fourth proportional to 19,517.68, 29,278.01 and 9,654.31 is: 14,482.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,517.68 : 29,278.01 = 9,654.31 : x
  2. Step 2: Convert to fraction form
    19,517.68/29,278.01 = 9,654.31/x
  3. Step 3: Cross multiply
    19,517.68x = 29,278.01 × 9,654.31
  4. Step 4: Simplify right side
    19,517.68x = 282,658,984.72
  5. Step 5: Solve for x
    x = 282,658,984.72/19,517.68
  6. Step 6: Final answer
    x = 14,482.20

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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.