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Finding the Fourth Proportional to 23,267.34, 32,114.10 and 14,194.71

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Solution

The fourth proportional to 23,267.34, 32,114.10 and 14,194.71 is: 19,591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,267.34 : 32,114.10 = 14,194.71 : x
  2. Step 2: Convert to fraction form
    23,267.34/32,114.10 = 14,194.71/x
  3. Step 3: Cross multiply
    23,267.34x = 32,114.10 × 14,194.71
  4. Step 4: Simplify right side
    23,267.34x = 455,850,336.41
  5. Step 5: Solve for x
    x = 455,850,336.41/23,267.34
  6. Step 6: Final answer
    x = 19,591.85

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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.