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Finding the Fourth Proportional to 17,238.32, 25,851.08 and 6,142.07

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Solution

The fourth proportional to 17,238.32, 25,851.08 and 6,142.07 is: 9,210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,238.32 : 25,851.08 = 6,142.07 : x
  2. Step 2: Convert to fraction form
    17,238.32/25,851.08 = 6,142.07/x
  3. Step 3: Cross multiply
    17,238.32x = 25,851.08 × 6,142.07
  4. Step 4: Simplify right side
    17,238.32x = 158,778,982.97
  5. Step 5: Solve for x
    x = 158,778,982.97/17,238.32
  6. Step 6: Final answer
    x = 9,210.82

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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.