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Finding the Fourth Proportional to 20,683.53, 31,026.29 and 5,893.47

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Solution

The fourth proportional to 20,683.53, 31,026.29 and 5,893.47 is: 8,840.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,683.53 : 31,026.29 = 5,893.47 : x
  2. Step 2: Convert to fraction form
    20,683.53/31,026.29 = 5,893.47/x
  3. Step 3: Cross multiply
    20,683.53x = 31,026.29 × 5,893.47
  4. Step 4: Simplify right side
    20,683.53x = 182,852,479.86
  5. Step 5: Solve for x
    x = 182,852,479.86/20,683.53
  6. Step 6: Final answer
    x = 8,840.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.