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Finding the Fourth Proportional to 23,267.28, 32,101.60 and 13,194.93

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Solution

The fourth proportional to 23,267.28, 32,101.60 and 13,194.93 is: 18,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,267.28 : 32,101.60 = 13,194.93 : x
  2. Step 2: Convert to fraction form
    23,267.28/32,101.60 = 13,194.93/x
  3. Step 3: Cross multiply
    23,267.28x = 32,101.60 × 13,194.93
  4. Step 4: Simplify right side
    23,267.28x = 423,578,364.89
  5. Step 5: Solve for x
    x = 423,578,364.89/23,267.28
  6. Step 6: Final answer
    x = 18,204.89

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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.