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Finding the Fourth Proportional to 19,710.72, 29,571.84 and 9,308.16

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Solution

The fourth proportional to 19,710.72, 29,571.84 and 9,308.16 is: 13,964.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710.72 : 29,571.84 = 9,308.16 : x
  2. Step 2: Convert to fraction form
    19,710.72/29,571.84 = 9,308.16/x
  3. Step 3: Cross multiply
    19,710.72x = 29,571.84 × 9,308.16
  4. Step 4: Simplify right side
    19,710.72x = 275,259,418.21
  5. Step 5: Solve for x
    x = 275,259,418.21/19,710.72
  6. Step 6: Final answer
    x = 13,964.96

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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.