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Finding the Fourth Proportional to 23,552.22, 32,494.02 and 14,596.45

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Solution

The fourth proportional to 23,552.22, 32,494.02 and 14,596.45 is: 20,138.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,552.22 : 32,494.02 = 14,596.45 : x
  2. Step 2: Convert to fraction form
    23,552.22/32,494.02 = 14,596.45/x
  3. Step 3: Cross multiply
    23,552.22x = 32,494.02 × 14,596.45
  4. Step 4: Simplify right side
    23,552.22x = 474,297,338.23
  5. Step 5: Solve for x
    x = 474,297,338.23/23,552.22
  6. Step 6: Final answer
    x = 20,138.12

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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.