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Finding the Fourth Proportional to 16,872.84, 23,305.19 and 12,642.82

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Solution

The fourth proportional to 16,872.84, 23,305.19 and 12,642.82 is: 17,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,872.84 : 23,305.19 = 12,642.82 : x
  2. Step 2: Convert to fraction form
    16,872.84/23,305.19 = 12,642.82/x
  3. Step 3: Cross multiply
    16,872.84x = 23,305.19 × 12,642.82
  4. Step 4: Simplify right side
    16,872.84x = 294,643,200.76
  5. Step 5: Solve for x
    x = 294,643,200.76/16,872.84
  6. Step 6: Final answer
    x = 17,462.57

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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.