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Finding the Fourth Proportional to 13,584.72, 20,372.94 and 9,394.92

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Solution

The fourth proportional to 13,584.72, 20,372.94 and 9,394.92 is: 14,089.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584.72 : 20,372.94 = 9,394.92 : x
  2. Step 2: Convert to fraction form
    13,584.72/20,372.94 = 9,394.92/x
  3. Step 3: Cross multiply
    13,584.72x = 20,372.94 × 9,394.92
  4. Step 4: Simplify right side
    13,584.72x = 191,402,141.46
  5. Step 5: Solve for x
    x = 191,402,141.46/13,584.72
  6. Step 6: Final answer
    x = 14,089.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.