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Finding the Fourth Proportional to 13,582.73, 20,369.94 and 9,392.92

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Solution

The fourth proportional to 13,582.73, 20,369.94 and 9,392.92 is: 14,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582.73 : 20,369.94 = 9,392.92 : x
  2. Step 2: Convert to fraction form
    13,582.73/20,369.94 = 9,392.92/x
  3. Step 3: Cross multiply
    13,582.73x = 20,369.94 × 9,392.92
  4. Step 4: Simplify right side
    13,582.73x = 191,333,114.98
  5. Step 5: Solve for x
    x = 191,333,114.98/13,582.73
  6. Step 6: Final answer
    x = 14,086.50

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Why These Related Problems?

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