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Finding the Fourth Proportional to 16,397.67, 22,630.52 and 10,027.98

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Solution

The fourth proportional to 16,397.67, 22,630.52 and 10,027.98 is: 13,839.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,397.67 : 22,630.52 = 10,027.98 : x
  2. Step 2: Convert to fraction form
    16,397.67/22,630.52 = 10,027.98/x
  3. Step 3: Cross multiply
    16,397.67x = 22,630.52 × 10,027.98
  4. Step 4: Simplify right side
    16,397.67x = 226,938,511.88
  5. Step 5: Solve for x
    x = 226,938,511.88/16,397.67
  6. Step 6: Final answer
    x = 13,839.68

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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.