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Finding the Fourth Proportional to 15,930.71, 23,894.52 and 4,837.50

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Solution

The fourth proportional to 15,930.71, 23,894.52 and 4,837.50 is: 7,255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930.71 : 23,894.52 = 4,837.50 : x
  2. Step 2: Convert to fraction form
    15,930.71/23,894.52 = 4,837.50/x
  3. Step 3: Cross multiply
    15,930.71x = 23,894.52 × 4,837.50
  4. Step 4: Simplify right side
    15,930.71x = 115,589,680.76
  5. Step 5: Solve for x
    x = 115,589,680.76/15,930.71
  6. Step 6: Final answer
    x = 7,255.78

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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.