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Finding the Fourth Proportional to 16,430.75, 22,650.82 and 11,706.83

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Solution

The fourth proportional to 16,430.75, 22,650.82 and 11,706.83 is: 16,138.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430.75 : 22,650.82 = 11,706.83 : x
  2. Step 2: Convert to fraction form
    16,430.75/22,650.82 = 11,706.83/x
  3. Step 3: Cross multiply
    16,430.75x = 22,650.82 × 11,706.83
  4. Step 4: Simplify right side
    16,430.75x = 265,169,299.10
  5. Step 5: Solve for x
    x = 265,169,299.10/16,430.75
  6. Step 6: Final answer
    x = 16,138.60

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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.