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Finding the Fourth Proportional to 16,675.76, 23,010 and 9,601.04

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Solution

The fourth proportional to 16,675.76, 23,010 and 9,601.04 is: 13,247.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,675.76 : 23,010 = 9,601.04 : x
  2. Step 2: Convert to fraction form
    16,675.76/23,010 = 9,601.04/x
  3. Step 3: Cross multiply
    16,675.76x = 23,010 × 9,601.04
  4. Step 4: Simplify right side
    16,675.76x = 220,919,930.40
  5. Step 5: Solve for x
    x = 220,919,930.40/16,675.76
  6. Step 6: Final answer
    x = 13,247.97

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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.