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Finding the Fourth Proportional to 16,147.51, 24,127.76 and 12,378.67

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Solution

The fourth proportional to 16,147.51, 24,127.76 and 12,378.67 is: 18,496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,147.51 : 24,127.76 = 12,378.67 : x
  2. Step 2: Convert to fraction form
    16,147.51/24,127.76 = 12,378.67/x
  3. Step 3: Cross multiply
    16,147.51x = 24,127.76 × 12,378.67
  4. Step 4: Simplify right side
    16,147.51x = 298,669,578.88
  5. Step 5: Solve for x
    x = 298,669,578.88/16,147.51
  6. Step 6: Final answer
    x = 18,496.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.