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Finding the Fourth Proportional to 15,861.68, 23,792.64 and 4,175

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Solution

The fourth proportional to 15,861.68, 23,792.64 and 4,175 is: 6,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,861.68 : 23,792.64 = 4,175 : x
  2. Step 2: Convert to fraction form
    15,861.68/23,792.64 = 4,175/x
  3. Step 3: Cross multiply
    15,861.68x = 23,792.64 × 4,175
  4. Step 4: Simplify right side
    15,861.68x = 99,334,272
  5. Step 5: Solve for x
    x = 99,334,272/15,861.68
  6. Step 6: Final answer
    x = 6,262.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.