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Finding the Fourth Proportional to 12,297.32, 18,432 and 10,813.66

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Solution

The fourth proportional to 12,297.32, 18,432 and 10,813.66 is: 16,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.32 : 18,432 = 10,813.66 : x
  2. Step 2: Convert to fraction form
    12,297.32/18,432 = 10,813.66/x
  3. Step 3: Cross multiply
    12,297.32x = 18,432 × 10,813.66
  4. Step 4: Simplify right side
    12,297.32x = 199,317,381.12
  5. Step 5: Solve for x
    x = 199,317,381.12/12,297.32
  6. Step 6: Final answer
    x = 16,208.20

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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.