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Finding the Fourth Proportional to 23,339.14, 32,207.62 and 12,728.14

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Solution

The fourth proportional to 23,339.14, 32,207.62 and 12,728.14 is: 17,564.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,339.14 : 32,207.62 = 12,728.14 : x
  2. Step 2: Convert to fraction form
    23,339.14/32,207.62 = 12,728.14/x
  3. Step 3: Cross multiply
    23,339.14x = 32,207.62 × 12,728.14
  4. Step 4: Simplify right side
    23,339.14x = 409,942,871.75
  5. Step 5: Solve for x
    x = 409,942,871.75/23,339.14
  6. Step 6: Final answer
    x = 17,564.61

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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.