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Finding the Fourth Proportional to 11,381.96, 17,062.52 and 9,638.18

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Solution

The fourth proportional to 11,381.96, 17,062.52 and 9,638.18 is: 14,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.96 : 17,062.52 = 9,638.18 : x
  2. Step 2: Convert to fraction form
    11,381.96/17,062.52 = 9,638.18/x
  3. Step 3: Cross multiply
    11,381.96x = 17,062.52 × 9,638.18
  4. Step 4: Simplify right side
    11,381.96x = 164,451,639.01
  5. Step 5: Solve for x
    x = 164,451,639.01/11,381.96
  6. Step 6: Final answer
    x = 14,448.45

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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.