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Finding the Fourth Proportional to 16,454.13, 22,710.34 and 11,356.80

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Solution

The fourth proportional to 16,454.13, 22,710.34 and 11,356.80 is: 15,674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.13 : 22,710.34 = 11,356.80 : x
  2. Step 2: Convert to fraction form
    16,454.13/22,710.34 = 11,356.80/x
  3. Step 3: Cross multiply
    16,454.13x = 22,710.34 × 11,356.80
  4. Step 4: Simplify right side
    16,454.13x = 257,916,789.31
  5. Step 5: Solve for x
    x = 257,916,789.31/16,454.13
  6. Step 6: Final answer
    x = 15,674.90

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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.