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Finding the Fourth Proportional to 13,033.67, 17,970.32 and 8,834.63

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Solution

The fourth proportional to 13,033.67, 17,970.32 and 8,834.63 is: 12,180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.67 : 17,970.32 = 8,834.63 : x
  2. Step 2: Convert to fraction form
    13,033.67/17,970.32 = 8,834.63/x
  3. Step 3: Cross multiply
    13,033.67x = 17,970.32 × 8,834.63
  4. Step 4: Simplify right side
    13,033.67x = 158,761,060.42
  5. Step 5: Solve for x
    x = 158,761,060.42/13,033.67
  6. Step 6: Final answer
    x = 12,180.85

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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.