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Finding the Fourth Proportional to 16,394.50, 22,616.31 and 10,342

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Solution

The fourth proportional to 16,394.50, 22,616.31 and 10,342 is: 14,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,394.50 : 22,616.31 = 10,342 : x
  2. Step 2: Convert to fraction form
    16,394.50/22,616.31 = 10,342/x
  3. Step 3: Cross multiply
    16,394.50x = 22,616.31 × 10,342
  4. Step 4: Simplify right side
    16,394.50x = 233,897,878.02
  5. Step 5: Solve for x
    x = 233,897,878.02/16,394.50
  6. Step 6: Final answer
    x = 14,266.85

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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.