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Finding the Fourth Proportional to 17,584.32, 24,268.30 and 11,211.14

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Solution

The fourth proportional to 17,584.32, 24,268.30 and 11,211.14 is: 15,472.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584.32 : 24,268.30 = 11,211.14 : x
  2. Step 2: Convert to fraction form
    17,584.32/24,268.30 = 11,211.14/x
  3. Step 3: Cross multiply
    17,584.32x = 24,268.30 × 11,211.14
  4. Step 4: Simplify right side
    17,584.32x = 272,075,252.81
  5. Step 5: Solve for x
    x = 272,075,252.81/17,584.32
  6. Step 6: Final answer
    x = 15,472.61

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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.