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Finding the Fourth Proportional to 11,411.68, 17,117.44 and 9,117.76

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Solution

The fourth proportional to 11,411.68, 17,117.44 and 9,117.76 is: 13,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.68 : 17,117.44 = 9,117.76 : x
  2. Step 2: Convert to fraction form
    11,411.68/17,117.44 = 9,117.76/x
  3. Step 3: Cross multiply
    11,411.68x = 17,117.44 × 9,117.76
  4. Step 4: Simplify right side
    11,411.68x = 156,072,709.73
  5. Step 5: Solve for x
    x = 156,072,709.73/11,411.68
  6. Step 6: Final answer
    x = 13,676.58

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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.