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Finding the Fourth Proportional to 11,823.20, 17,716.08 and 6,894.08

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Solution

The fourth proportional to 11,823.20, 17,716.08 and 6,894.08 is: 10,330.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.20 : 17,716.08 = 6,894.08 : x
  2. Step 2: Convert to fraction form
    11,823.20/17,716.08 = 6,894.08/x
  3. Step 3: Cross multiply
    11,823.20x = 17,716.08 × 6,894.08
  4. Step 4: Simplify right side
    11,823.20x = 122,136,072.81
  5. Step 5: Solve for x
    x = 122,136,072.81/11,823.20
  6. Step 6: Final answer
    x = 10,330.20

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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.