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Finding the Fourth Proportional to 15,886.92, 23,824 and 6,528.39

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Solution

The fourth proportional to 15,886.92, 23,824 and 6,528.39 is: 9,789.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886.92 : 23,824 = 6,528.39 : x
  2. Step 2: Convert to fraction form
    15,886.92/23,824 = 6,528.39/x
  3. Step 3: Cross multiply
    15,886.92x = 23,824 × 6,528.39
  4. Step 4: Simplify right side
    15,886.92x = 155,532,363.36
  5. Step 5: Solve for x
    x = 155,532,363.36/15,886.92
  6. Step 6: Final answer
    x = 9,789.96

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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.