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Finding the Fourth Proportional to 16,461.01, 24,693.44 and 5,784.09

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Solution

The fourth proportional to 16,461.01, 24,693.44 and 5,784.09 is: 8,676.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.01 : 24,693.44 = 5,784.09 : x
  2. Step 2: Convert to fraction form
    16,461.01/24,693.44 = 5,784.09/x
  3. Step 3: Cross multiply
    16,461.01x = 24,693.44 × 5,784.09
  4. Step 4: Simplify right side
    16,461.01x = 142,829,079.37
  5. Step 5: Solve for x
    x = 142,829,079.37/16,461.01
  6. Step 6: Final answer
    x = 8,676.81

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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.