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Finding the Fourth Proportional to 23,388.32, 32,276 and 12,778.14

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Solution

The fourth proportional to 23,388.32, 32,276 and 12,778.14 is: 17,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,388.32 : 32,276 = 12,778.14 : x
  2. Step 2: Convert to fraction form
    23,388.32/32,276 = 12,778.14/x
  3. Step 3: Cross multiply
    23,388.32x = 32,276 × 12,778.14
  4. Step 4: Simplify right side
    23,388.32x = 412,427,246.64
  5. Step 5: Solve for x
    x = 412,427,246.64/23,388.32
  6. Step 6: Final answer
    x = 17,633.90

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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.