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Finding the Fourth Proportional to 20,782.17, 31,099.01 and 16,648.47

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Solution

The fourth proportional to 20,782.17, 31,099.01 and 16,648.47 is: 24,913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.17 : 31,099.01 = 16,648.47 : x
  2. Step 2: Convert to fraction form
    20,782.17/31,099.01 = 16,648.47/x
  3. Step 3: Cross multiply
    20,782.17x = 31,099.01 × 16,648.47
  4. Step 4: Simplify right side
    20,782.17x = 517,750,851.77
  5. Step 5: Solve for x
    x = 517,750,851.77/20,782.17
  6. Step 6: Final answer
    x = 24,913.22

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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.