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Finding the Fourth Proportional to 11,189.47, 16,850.81 and 9,746.05

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Solution

The fourth proportional to 11,189.47, 16,850.81 and 9,746.05 is: 14,677.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.47 : 16,850.81 = 9,746.05 : x
  2. Step 2: Convert to fraction form
    11,189.47/16,850.81 = 9,746.05/x
  3. Step 3: Cross multiply
    11,189.47x = 16,850.81 × 9,746.05
  4. Step 4: Simplify right side
    11,189.47x = 164,228,836.80
  5. Step 5: Solve for x
    x = 164,228,836.80/11,189.47
  6. Step 6: Final answer
    x = 14,677.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.