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Finding the Fourth Proportional to 15,682.60, 23,531.18 and 5,825.31

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Solution

The fourth proportional to 15,682.60, 23,531.18 and 5,825.31 is: 8,740.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.60 : 23,531.18 = 5,825.31 : x
  2. Step 2: Convert to fraction form
    15,682.60/23,531.18 = 5,825.31/x
  3. Step 3: Cross multiply
    15,682.60x = 23,531.18 × 5,825.31
  4. Step 4: Simplify right side
    15,682.60x = 137,076,418.17
  5. Step 5: Solve for x
    x = 137,076,418.17/15,682.60
  6. Step 6: Final answer
    x = 8,740.67

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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.