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Finding the Fourth Proportional to 23,638.74, 35,458.11 and 6,109.98

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Solution

The fourth proportional to 23,638.74, 35,458.11 and 6,109.98 is: 9,164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,638.74 : 35,458.11 = 6,109.98 : x
  2. Step 2: Convert to fraction form
    23,638.74/35,458.11 = 6,109.98/x
  3. Step 3: Cross multiply
    23,638.74x = 35,458.11 × 6,109.98
  4. Step 4: Simplify right side
    23,638.74x = 216,648,342.94
  5. Step 5: Solve for x
    x = 216,648,342.94/23,638.74
  6. Step 6: Final answer
    x = 9,164.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.