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Finding the Fourth Proportional to 16,211.47, 24,319.74 and 6,851.53

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Solution

The fourth proportional to 16,211.47, 24,319.74 and 6,851.53 is: 10,278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,211.47 : 24,319.74 = 6,851.53 : x
  2. Step 2: Convert to fraction form
    16,211.47/24,319.74 = 6,851.53/x
  3. Step 3: Cross multiply
    16,211.47x = 24,319.74 × 6,851.53
  4. Step 4: Simplify right side
    16,211.47x = 166,627,393.94
  5. Step 5: Solve for x
    x = 166,627,393.94/16,211.47
  6. Step 6: Final answer
    x = 10,278.36

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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.