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Finding the Fourth Proportional to 17,682.84, 24,407.82 and 11,395.24

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Solution

The fourth proportional to 17,682.84, 24,407.82 and 11,395.24 is: 15,728.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.84 : 24,407.82 = 11,395.24 : x
  2. Step 2: Convert to fraction form
    17,682.84/24,407.82 = 11,395.24/x
  3. Step 3: Cross multiply
    17,682.84x = 24,407.82 × 11,395.24
  4. Step 4: Simplify right side
    17,682.84x = 278,132,966.78
  5. Step 5: Solve for x
    x = 278,132,966.78/17,682.84
  6. Step 6: Final answer
    x = 15,728.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.