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Finding the Fourth Proportional to 15,683.34, 23,523.20 and 5,822.82

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Solution

The fourth proportional to 15,683.34, 23,523.20 and 5,822.82 is: 8,733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683.34 : 23,523.20 = 5,822.82 : x
  2. Step 2: Convert to fraction form
    15,683.34/23,523.20 = 5,822.82/x
  3. Step 3: Cross multiply
    15,683.34x = 23,523.20 × 5,822.82
  4. Step 4: Simplify right side
    15,683.34x = 136,971,359.42
  5. Step 5: Solve for x
    x = 136,971,359.42/15,683.34
  6. Step 6: Final answer
    x = 8,733.56

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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.