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Finding the Fourth Proportional to 11,560.96, 17,257.82 and 10,159.71

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Solution

The fourth proportional to 11,560.96, 17,257.82 and 10,159.71 is: 15,166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560.96 : 17,257.82 = 10,159.71 : x
  2. Step 2: Convert to fraction form
    11,560.96/17,257.82 = 10,159.71/x
  3. Step 3: Cross multiply
    11,560.96x = 17,257.82 × 10,159.71
  4. Step 4: Simplify right side
    11,560.96x = 175,334,446.43
  5. Step 5: Solve for x
    x = 175,334,446.43/11,560.96
  6. Step 6: Final answer
    x = 15,166.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.