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Finding the Fourth Proportional to 16,850.69, 25,279.28 and 6,461.63

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Solution

The fourth proportional to 16,850.69, 25,279.28 and 6,461.63 is: 9,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,850.69 : 25,279.28 = 6,461.63 : x
  2. Step 2: Convert to fraction form
    16,850.69/25,279.28 = 6,461.63/x
  3. Step 3: Cross multiply
    16,850.69x = 25,279.28 × 6,461.63
  4. Step 4: Simplify right side
    16,850.69x = 163,345,195.32
  5. Step 5: Solve for x
    x = 163,345,195.32/16,850.69
  6. Step 6: Final answer
    x = 9,693.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.