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Finding the Fourth Proportional to 23,493.46, 32,421.10 and 12,738.42

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Solution

The fourth proportional to 23,493.46, 32,421.10 and 12,738.42 is: 17,579.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,493.46 : 32,421.10 = 12,738.42 : x
  2. Step 2: Convert to fraction form
    23,493.46/32,421.10 = 12,738.42/x
  3. Step 3: Cross multiply
    23,493.46x = 32,421.10 × 12,738.42
  4. Step 4: Simplify right side
    23,493.46x = 412,993,588.66
  5. Step 5: Solve for x
    x = 412,993,588.66/23,493.46
  6. Step 6: Final answer
    x = 17,579.09

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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.