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Finding the Fourth Proportional to 15,175.84, 20,941.59 and 8,461.18

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Solution

The fourth proportional to 15,175.84, 20,941.59 and 8,461.18 is: 11,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.84 : 20,941.59 = 8,461.18 : x
  2. Step 2: Convert to fraction form
    15,175.84/20,941.59 = 8,461.18/x
  3. Step 3: Cross multiply
    15,175.84x = 20,941.59 × 8,461.18
  4. Step 4: Simplify right side
    15,175.84x = 177,190,562.48
  5. Step 5: Solve for x
    x = 177,190,562.48/15,175.84
  6. Step 6: Final answer
    x = 11,675.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.