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Finding the Fourth Proportional to 11,046.64, 16,568.12 and 9,184.40

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Solution

The fourth proportional to 11,046.64, 16,568.12 and 9,184.40 is: 13,775.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,046.64 : 16,568.12 = 9,184.40 : x
  2. Step 2: Convert to fraction form
    11,046.64/16,568.12 = 9,184.40/x
  3. Step 3: Cross multiply
    11,046.64x = 16,568.12 × 9,184.40
  4. Step 4: Simplify right side
    11,046.64x = 152,168,241.33
  5. Step 5: Solve for x
    x = 152,168,241.33/11,046.64
  6. Step 6: Final answer
    x = 13,775.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.