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Finding the Fourth Proportional to 17,154.09, 25,740.96 and 9,256.59

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Solution

The fourth proportional to 17,154.09, 25,740.96 and 9,256.59 is: 13,890.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,154.09 : 25,740.96 = 9,256.59 : x
  2. Step 2: Convert to fraction form
    17,154.09/25,740.96 = 9,256.59/x
  3. Step 3: Cross multiply
    17,154.09x = 25,740.96 × 9,256.59
  4. Step 4: Simplify right side
    17,154.09x = 238,273,512.93
  5. Step 5: Solve for x
    x = 238,273,512.93/17,154.09
  6. Step 6: Final answer
    x = 13,890.19

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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.