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Finding the Fourth Proportional to 15,175.92, 22,763.08 and 6,853.84

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Solution

The fourth proportional to 15,175.92, 22,763.08 and 6,853.84 is: 10,280.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.92 : 22,763.08 = 6,853.84 : x
  2. Step 2: Convert to fraction form
    15,175.92/22,763.08 = 6,853.84/x
  3. Step 3: Cross multiply
    15,175.92x = 22,763.08 × 6,853.84
  4. Step 4: Simplify right side
    15,175.92x = 156,014,508.23
  5. Step 5: Solve for x
    x = 156,014,508.23/15,175.92
  6. Step 6: Final answer
    x = 10,280.40

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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.