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Finding the Fourth Proportional to 16,384.88, 24,577.40 and 4,072.88

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Solution

The fourth proportional to 16,384.88, 24,577.40 and 4,072.88 is: 6,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.88 : 24,577.40 = 4,072.88 : x
  2. Step 2: Convert to fraction form
    16,384.88/24,577.40 = 4,072.88/x
  3. Step 3: Cross multiply
    16,384.88x = 24,577.40 × 4,072.88
  4. Step 4: Simplify right side
    16,384.88x = 100,100,688.21
  5. Step 5: Solve for x
    x = 100,100,688.21/16,384.88
  6. Step 6: Final answer
    x = 6,109.33

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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.