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Finding the Fourth Proportional to 11,314.04, 16,958.74 and 9,665.59

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Solution

The fourth proportional to 11,314.04, 16,958.74 and 9,665.59 is: 14,487.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.04 : 16,958.74 = 9,665.59 : x
  2. Step 2: Convert to fraction form
    11,314.04/16,958.74 = 9,665.59/x
  3. Step 3: Cross multiply
    11,314.04x = 16,958.74 × 9,665.59
  4. Step 4: Simplify right side
    11,314.04x = 163,916,227.76
  5. Step 5: Solve for x
    x = 163,916,227.76/11,314.04
  6. Step 6: Final answer
    x = 14,487.86

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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.