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Finding the Fourth Proportional to 17,233.62, 25,852.86 and 6,137.94

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Solution

The fourth proportional to 17,233.62, 25,852.86 and 6,137.94 is: 9,207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,233.62 : 25,852.86 = 6,137.94 : x
  2. Step 2: Convert to fraction form
    17,233.62/25,852.86 = 6,137.94/x
  3. Step 3: Cross multiply
    17,233.62x = 25,852.86 × 6,137.94
  4. Step 4: Simplify right side
    17,233.62x = 158,683,303.51
  5. Step 5: Solve for x
    x = 158,683,303.51/17,233.62
  6. Step 6: Final answer
    x = 9,207.78

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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.