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Finding the Fourth Proportional to 23,415.96, 32,314.02 and 12,805.60

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Solution

The fourth proportional to 23,415.96, 32,314.02 and 12,805.60 is: 17,671.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,415.96 : 32,314.02 = 12,805.60 : x
  2. Step 2: Convert to fraction form
    23,415.96/32,314.02 = 12,805.60/x
  3. Step 3: Cross multiply
    23,415.96x = 32,314.02 × 12,805.60
  4. Step 4: Simplify right side
    23,415.96x = 413,800,350.48
  5. Step 5: Solve for x
    x = 413,800,350.48/23,415.96
  6. Step 6: Final answer
    x = 17,671.72

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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.