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Finding the Fourth Proportional to 16,705.24, 23,052.24 and 9,150.06

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Solution

The fourth proportional to 16,705.24, 23,052.24 and 9,150.06 is: 12,626.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.24 : 23,052.24 = 9,150.06 : x
  2. Step 2: Convert to fraction form
    16,705.24/23,052.24 = 9,150.06/x
  3. Step 3: Cross multiply
    16,705.24x = 23,052.24 × 9,150.06
  4. Step 4: Simplify right side
    16,705.24x = 210,929,379.13
  5. Step 5: Solve for x
    x = 210,929,379.13/16,705.24
  6. Step 6: Final answer
    x = 12,626.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.