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Finding the Fourth Proportional to 16,731.84, 23,089.92 and 9,178.20

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Solution

The fourth proportional to 16,731.84, 23,089.92 and 9,178.20 is: 12,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,731.84 : 23,089.92 = 9,178.20 : x
  2. Step 2: Convert to fraction form
    16,731.84/23,089.92 = 9,178.20/x
  3. Step 3: Cross multiply
    16,731.84x = 23,089.92 × 9,178.20
  4. Step 4: Simplify right side
    16,731.84x = 211,923,903.74
  5. Step 5: Solve for x
    x = 211,923,903.74/16,731.84
  6. Step 6: Final answer
    x = 12,665.91

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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.