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Finding the Fourth Proportional to 19,703.14, 29,538.08 and 9,167.72

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Solution

The fourth proportional to 19,703.14, 29,538.08 and 9,167.72 is: 13,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,703.14 : 29,538.08 = 9,167.72 : x
  2. Step 2: Convert to fraction form
    19,703.14/29,538.08 = 9,167.72/x
  3. Step 3: Cross multiply
    19,703.14x = 29,538.08 × 9,167.72
  4. Step 4: Simplify right side
    19,703.14x = 270,796,846.78
  5. Step 5: Solve for x
    x = 270,796,846.78/19,703.14
  6. Step 6: Final answer
    x = 13,743.84

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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.