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Finding the Fourth Proportional to 16,256.22, 22,434 and 9,880.62

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Solution

The fourth proportional to 16,256.22, 22,434 and 9,880.62 is: 13,635.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,256.22 : 22,434 = 9,880.62 : x
  2. Step 2: Convert to fraction form
    16,256.22/22,434 = 9,880.62/x
  3. Step 3: Cross multiply
    16,256.22x = 22,434 × 9,880.62
  4. Step 4: Simplify right side
    16,256.22x = 221,661,829.08
  5. Step 5: Solve for x
    x = 221,661,829.08/16,256.22
  6. Step 6: Final answer
    x = 13,635.51

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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.