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Finding the Fourth Proportional to 15,930.96, 23,899.86 and 4,838.46

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Solution

The fourth proportional to 15,930.96, 23,899.86 and 4,838.46 is: 7,258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930.96 : 23,899.86 = 4,838.46 : x
  2. Step 2: Convert to fraction form
    15,930.96/23,899.86 = 4,838.46/x
  3. Step 3: Cross multiply
    15,930.96x = 23,899.86 × 4,838.46
  4. Step 4: Simplify right side
    15,930.96x = 115,638,516.62
  5. Step 5: Solve for x
    x = 115,638,516.62/15,930.96
  6. Step 6: Final answer
    x = 7,258.73

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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.