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Finding the Fourth Proportional to 16,453.83, 22,706.48 and 9,991.63

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Solution

The fourth proportional to 16,453.83, 22,706.48 and 9,991.63 is: 13,788.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,453.83 : 22,706.48 = 9,991.63 : x
  2. Step 2: Convert to fraction form
    16,453.83/22,706.48 = 9,991.63/x
  3. Step 3: Cross multiply
    16,453.83x = 22,706.48 × 9,991.63
  4. Step 4: Simplify right side
    16,453.83x = 226,874,696.80
  5. Step 5: Solve for x
    x = 226,874,696.80/16,453.83
  6. Step 6: Final answer
    x = 13,788.57

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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.