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Finding the Fourth Proportional to 16,791, 23,171.98 and 9,237.74

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Solution

The fourth proportional to 16,791, 23,171.98 and 9,237.74 is: 12,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,791 : 23,171.98 = 9,237.74 : x
  2. Step 2: Convert to fraction form
    16,791/23,171.98 = 9,237.74/x
  3. Step 3: Cross multiply
    16,791x = 23,171.98 × 9,237.74
  4. Step 4: Simplify right side
    16,791x = 214,056,726.53
  5. Step 5: Solve for x
    x = 214,056,726.53/16,791
  6. Step 6: Final answer
    x = 12,748.30

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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.