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Finding the Fourth Proportional to 23,297.46, 32,153.48 and 13,229.24

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Solution

The fourth proportional to 23,297.46, 32,153.48 and 13,229.24 is: 18,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,297.46 : 32,153.48 = 13,229.24 : x
  2. Step 2: Convert to fraction form
    23,297.46/32,153.48 = 13,229.24/x
  3. Step 3: Cross multiply
    23,297.46x = 32,153.48 × 13,229.24
  4. Step 4: Simplify right side
    23,297.46x = 425,366,103.76
  5. Step 5: Solve for x
    x = 425,366,103.76/23,297.46
  6. Step 6: Final answer
    x = 18,258.05

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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.