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Finding the Fourth Proportional to 16,212.76, 24,319.14 and 3,900.76

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Solution

The fourth proportional to 16,212.76, 24,319.14 and 3,900.76 is: 5,851.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212.76 : 24,319.14 = 3,900.76 : x
  2. Step 2: Convert to fraction form
    16,212.76/24,319.14 = 3,900.76/x
  3. Step 3: Cross multiply
    16,212.76x = 24,319.14 × 3,900.76
  4. Step 4: Simplify right side
    16,212.76x = 94,863,128.55
  5. Step 5: Solve for x
    x = 94,863,128.55/16,212.76
  6. Step 6: Final answer
    x = 5,851.14

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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.