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Finding the Fourth Proportional to 11,433.81, 17,154.60 and 6,169.32

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Solution

The fourth proportional to 11,433.81, 17,154.60 and 6,169.32 is: 9,256.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.81 : 17,154.60 = 6,169.32 : x
  2. Step 2: Convert to fraction form
    11,433.81/17,154.60 = 6,169.32/x
  3. Step 3: Cross multiply
    11,433.81x = 17,154.60 × 6,169.32
  4. Step 4: Simplify right side
    11,433.81x = 105,832,216.87
  5. Step 5: Solve for x
    x = 105,832,216.87/11,433.81
  6. Step 6: Final answer
    x = 9,256.08

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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.