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Finding the Fourth Proportional to 16,462.75, 22,710.49 and 11,159.23

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Solution

The fourth proportional to 16,462.75, 22,710.49 and 11,159.23 is: 15,394.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462.75 : 22,710.49 = 11,159.23 : x
  2. Step 2: Convert to fraction form
    16,462.75/22,710.49 = 11,159.23/x
  3. Step 3: Cross multiply
    16,462.75x = 22,710.49 × 11,159.23
  4. Step 4: Simplify right side
    16,462.75x = 253,431,581.32
  5. Step 5: Solve for x
    x = 253,431,581.32/16,462.75
  6. Step 6: Final answer
    x = 15,394.24

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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.