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Finding the Fourth Proportional to 16,531.84, 22,797.15 and 14,149.72

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Solution

The fourth proportional to 16,531.84, 22,797.15 and 14,149.72 is: 19,512.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,531.84 : 22,797.15 = 14,149.72 : x
  2. Step 2: Convert to fraction form
    16,531.84/22,797.15 = 14,149.72/x
  3. Step 3: Cross multiply
    16,531.84x = 22,797.15 × 14,149.72
  4. Step 4: Simplify right side
    16,531.84x = 322,573,289.30
  5. Step 5: Solve for x
    x = 322,573,289.30/16,531.84
  6. Step 6: Final answer
    x = 19,512.24

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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.