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Finding the Fourth Proportional to 16,495.75, 22,754.82 and 9,774.78

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Solution

The fourth proportional to 16,495.75, 22,754.82 and 9,774.78 is: 13,483.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,495.75 : 22,754.82 = 9,774.78 : x
  2. Step 2: Convert to fraction form
    16,495.75/22,754.82 = 9,774.78/x
  3. Step 3: Cross multiply
    16,495.75x = 22,754.82 × 9,774.78
  4. Step 4: Simplify right side
    16,495.75x = 222,423,359.44
  5. Step 5: Solve for x
    x = 222,423,359.44/16,495.75
  6. Step 6: Final answer
    x = 13,483.68

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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.