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Finding the Fourth Proportional to 16,782.36, 23,158.27 and 9,882.42

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Solution

The fourth proportional to 16,782.36, 23,158.27 and 9,882.42 is: 13,636.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.36 : 23,158.27 = 9,882.42 : x
  2. Step 2: Convert to fraction form
    16,782.36/23,158.27 = 9,882.42/x
  3. Step 3: Cross multiply
    16,782.36x = 23,158.27 × 9,882.42
  4. Step 4: Simplify right side
    16,782.36x = 228,859,750.61
  5. Step 5: Solve for x
    x = 228,859,750.61/16,782.36
  6. Step 6: Final answer
    x = 13,636.92

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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.