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Finding the Fourth Proportional to 11,231.64, 15,506.33 and 9,986.18

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Solution

The fourth proportional to 11,231.64, 15,506.33 and 9,986.18 is: 13,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,231.64 : 15,506.33 = 9,986.18 : x
  2. Step 2: Convert to fraction form
    11,231.64/15,506.33 = 9,986.18/x
  3. Step 3: Cross multiply
    11,231.64x = 15,506.33 × 9,986.18
  4. Step 4: Simplify right side
    11,231.64x = 154,848,875.06
  5. Step 5: Solve for x
    x = 154,848,875.06/11,231.64
  6. Step 6: Final answer
    x = 13,786.84

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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.