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Finding the Fourth Proportional to 16,469.34, 24,708.06 and 4,782.66

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Solution

The fourth proportional to 16,469.34, 24,708.06 and 4,782.66 is: 7,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,469.34 : 24,708.06 = 4,782.66 : x
  2. Step 2: Convert to fraction form
    16,469.34/24,708.06 = 4,782.66/x
  3. Step 3: Cross multiply
    16,469.34x = 24,708.06 × 4,782.66
  4. Step 4: Simplify right side
    16,469.34x = 118,170,250.24
  5. Step 5: Solve for x
    x = 118,170,250.24/16,469.34
  6. Step 6: Final answer
    x = 7,175.17

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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.