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Finding the Fourth Proportional to 23,773.32, 32,807.70 and 13,163.40

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Solution

The fourth proportional to 23,773.32, 32,807.70 and 13,163.40 is: 18,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,773.32 : 32,807.70 = 13,163.40 : x
  2. Step 2: Convert to fraction form
    23,773.32/32,807.70 = 13,163.40/x
  3. Step 3: Cross multiply
    23,773.32x = 32,807.70 × 13,163.40
  4. Step 4: Simplify right side
    23,773.32x = 431,860,878.18
  5. Step 5: Solve for x
    x = 431,860,878.18/23,773.32
  6. Step 6: Final answer
    x = 18,165.78

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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.