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Finding the Fourth Proportional to 15,175.26, 22,761.03 and 6,409.02

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Solution

The fourth proportional to 15,175.26, 22,761.03 and 6,409.02 is: 9,612.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.26 : 22,761.03 = 6,409.02 : x
  2. Step 2: Convert to fraction form
    15,175.26/22,761.03 = 6,409.02/x
  3. Step 3: Cross multiply
    15,175.26x = 22,761.03 × 6,409.02
  4. Step 4: Simplify right side
    15,175.26x = 145,875,896.49
  5. Step 5: Solve for x
    x = 145,875,896.49/15,175.26
  6. Step 6: Final answer
    x = 9,612.74

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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.