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Finding the Fourth Proportional to 17,154.47, 25,741.58 and 9,256.97

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Solution

The fourth proportional to 17,154.47, 25,741.58 and 9,256.97 is: 13,890.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,154.47 : 25,741.58 = 9,256.97 : x
  2. Step 2: Convert to fraction form
    17,154.47/25,741.58 = 9,256.97/x
  3. Step 3: Cross multiply
    17,154.47x = 25,741.58 × 9,256.97
  4. Step 4: Simplify right side
    17,154.47x = 238,288,858.82
  5. Step 5: Solve for x
    x = 238,288,858.82/17,154.47
  6. Step 6: Final answer
    x = 13,890.78

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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.