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Finding the Fourth Proportional to 13,529.69, 18,664.45 and 8,491.42

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Solution

The fourth proportional to 13,529.69, 18,664.45 and 8,491.42 is: 11,714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,529.69 : 18,664.45 = 8,491.42 : x
  2. Step 2: Convert to fraction form
    13,529.69/18,664.45 = 8,491.42/x
  3. Step 3: Cross multiply
    13,529.69x = 18,664.45 × 8,491.42
  4. Step 4: Simplify right side
    13,529.69x = 158,487,684.02
  5. Step 5: Solve for x
    x = 158,487,684.02/13,529.69
  6. Step 6: Final answer
    x = 11,714.07

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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.