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Finding the Fourth Proportional to 11,808.96, 17,723.92 and 8,878.32

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Solution

The fourth proportional to 11,808.96, 17,723.92 and 8,878.32 is: 13,325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.96 : 17,723.92 = 8,878.32 : x
  2. Step 2: Convert to fraction form
    11,808.96/17,723.92 = 8,878.32/x
  3. Step 3: Cross multiply
    11,808.96x = 17,723.92 × 8,878.32
  4. Step 4: Simplify right side
    11,808.96x = 157,358,633.41
  5. Step 5: Solve for x
    x = 157,358,633.41/11,808.96
  6. Step 6: Final answer
    x = 13,325.36

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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.