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Finding the Fourth Proportional to 11,585.25, 17,228.84 and 11,216.19

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Solution

The fourth proportional to 11,585.25, 17,228.84 and 11,216.19 is: 16,679.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.25 : 17,228.84 = 11,216.19 : x
  2. Step 2: Convert to fraction form
    11,585.25/17,228.84 = 11,216.19/x
  3. Step 3: Cross multiply
    11,585.25x = 17,228.84 × 11,216.19
  4. Step 4: Simplify right side
    11,585.25x = 193,241,886.84
  5. Step 5: Solve for x
    x = 193,241,886.84/11,585.25
  6. Step 6: Final answer
    x = 16,679.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.