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Finding the Fourth Proportional to 15,175.46, 22,755 and 6,845.74

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Solution

The fourth proportional to 15,175.46, 22,755 and 6,845.74 is: 10,264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.46 : 22,755 = 6,845.74 : x
  2. Step 2: Convert to fraction form
    15,175.46/22,755 = 6,845.74/x
  3. Step 3: Cross multiply
    15,175.46x = 22,755 × 6,845.74
  4. Step 4: Simplify right side
    15,175.46x = 155,774,813.70
  5. Step 5: Solve for x
    x = 155,774,813.70/15,175.46
  6. Step 6: Final answer
    x = 10,264.92

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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.