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Finding the Fourth Proportional to 16,206.75, 22,356.24 and 9,491.10

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Solution

The fourth proportional to 16,206.75, 22,356.24 and 9,491.10 is: 13,092.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.75 : 22,356.24 = 9,491.10 : x
  2. Step 2: Convert to fraction form
    16,206.75/22,356.24 = 9,491.10/x
  3. Step 3: Cross multiply
    16,206.75x = 22,356.24 × 9,491.10
  4. Step 4: Simplify right side
    16,206.75x = 212,185,309.46
  5. Step 5: Solve for x
    x = 212,185,309.46/16,206.75
  6. Step 6: Final answer
    x = 13,092.40

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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.