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Finding the Fourth Proportional to 19,682.48, 29,507.28 and 9,808.17

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Solution

The fourth proportional to 19,682.48, 29,507.28 and 9,808.17 is: 14,704.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.48 : 29,507.28 = 9,808.17 : x
  2. Step 2: Convert to fraction form
    19,682.48/29,507.28 = 9,808.17/x
  3. Step 3: Cross multiply
    19,682.48x = 29,507.28 × 9,808.17
  4. Step 4: Simplify right side
    19,682.48x = 289,412,418.48
  5. Step 5: Solve for x
    x = 289,412,418.48/19,682.48
  6. Step 6: Final answer
    x = 14,704.07

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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.