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Finding the Fourth Proportional to 16,497.63, 24,741.24 and 5,401.77

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Solution

The fourth proportional to 16,497.63, 24,741.24 and 5,401.77 is: 8,100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.63 : 24,741.24 = 5,401.77 : x
  2. Step 2: Convert to fraction form
    16,497.63/24,741.24 = 5,401.77/x
  3. Step 3: Cross multiply
    16,497.63x = 24,741.24 × 5,401.77
  4. Step 4: Simplify right side
    16,497.63x = 133,646,399.13
  5. Step 5: Solve for x
    x = 133,646,399.13/16,497.63
  6. Step 6: Final answer
    x = 8,100.95

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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.