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Finding the Fourth Proportional to 16,730.96, 23,089.04 and 9,176.84

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Solution

The fourth proportional to 16,730.96, 23,089.04 and 9,176.84 is: 12,664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,730.96 : 23,089.04 = 9,176.84 : x
  2. Step 2: Convert to fraction form
    16,730.96/23,089.04 = 9,176.84/x
  3. Step 3: Cross multiply
    16,730.96x = 23,089.04 × 9,176.84
  4. Step 4: Simplify right side
    16,730.96x = 211,884,414.43
  5. Step 5: Solve for x
    x = 211,884,414.43/16,730.96
  6. Step 6: Final answer
    x = 12,664.21

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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.