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Finding the Fourth Proportional to 15,857.42, 23,786.06 and 4,764.06

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Solution

The fourth proportional to 15,857.42, 23,786.06 and 4,764.06 is: 7,146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.42 : 23,786.06 = 4,764.06 : x
  2. Step 2: Convert to fraction form
    15,857.42/23,786.06 = 4,764.06/x
  3. Step 3: Cross multiply
    15,857.42x = 23,786.06 × 4,764.06
  4. Step 4: Simplify right side
    15,857.42x = 113,318,217.00
  5. Step 5: Solve for x
    x = 113,318,217.00/15,857.42
  6. Step 6: Final answer
    x = 7,146.07

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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.