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Finding the Fourth Proportional to 15,684.31, 23,520.21 and 6,913

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Solution

The fourth proportional to 15,684.31, 23,520.21 and 6,913 is: 10,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684.31 : 23,520.21 = 6,913 : x
  2. Step 2: Convert to fraction form
    15,684.31/23,520.21 = 6,913/x
  3. Step 3: Cross multiply
    15,684.31x = 23,520.21 × 6,913
  4. Step 4: Simplify right side
    15,684.31x = 162,595,211.73
  5. Step 5: Solve for x
    x = 162,595,211.73/15,684.31
  6. Step 6: Final answer
    x = 10,366.74

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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.