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Finding the Fourth Proportional to 16,644.48, 22,922.88 and 13,824.24

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Solution

The fourth proportional to 16,644.48, 22,922.88 and 13,824.24 is: 19,038.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,644.48 : 22,922.88 = 13,824.24 : x
  2. Step 2: Convert to fraction form
    16,644.48/22,922.88 = 13,824.24/x
  3. Step 3: Cross multiply
    16,644.48x = 22,922.88 × 13,824.24
  4. Step 4: Simplify right side
    16,644.48x = 316,891,394.61
  5. Step 5: Solve for x
    x = 316,891,394.61/16,644.48
  6. Step 6: Final answer
    x = 19,038.83

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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.