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Finding the Fourth Proportional to 23,249.15, 32,083.16 and 13,178.52

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Solution

The fourth proportional to 23,249.15, 32,083.16 and 13,178.52 is: 18,185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,249.15 : 32,083.16 = 13,178.52 : x
  2. Step 2: Convert to fraction form
    23,249.15/32,083.16 = 13,178.52/x
  3. Step 3: Cross multiply
    23,249.15x = 32,083.16 × 13,178.52
  4. Step 4: Simplify right side
    23,249.15x = 422,808,499.83
  5. Step 5: Solve for x
    x = 422,808,499.83/23,249.15
  6. Step 6: Final answer
    x = 18,185.98

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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.