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Finding the Fourth Proportional to 16,461.48, 24,694.56 and 6,072.42

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Solution

The fourth proportional to 16,461.48, 24,694.56 and 6,072.42 is: 9,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.48 : 24,694.56 = 6,072.42 : x
  2. Step 2: Convert to fraction form
    16,461.48/24,694.56 = 6,072.42/x
  3. Step 3: Cross multiply
    16,461.48x = 24,694.56 × 6,072.42
  4. Step 4: Simplify right side
    16,461.48x = 149,955,740.04
  5. Step 5: Solve for x
    x = 149,955,740.04/16,461.48
  6. Step 6: Final answer
    x = 9,109.49

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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.