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Finding the Fourth Proportional to 11,516.76, 17,265.06 and 9,558.68

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Solution

The fourth proportional to 11,516.76, 17,265.06 and 9,558.68 is: 14,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.76 : 17,265.06 = 9,558.68 : x
  2. Step 2: Convert to fraction form
    11,516.76/17,265.06 = 9,558.68/x
  3. Step 3: Cross multiply
    11,516.76x = 17,265.06 × 9,558.68
  4. Step 4: Simplify right side
    11,516.76x = 165,031,097.40
  5. Step 5: Solve for x
    x = 165,031,097.40/11,516.76
  6. Step 6: Final answer
    x = 14,329.65

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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.