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Finding the Fourth Proportional to 16,526.34, 24,747.24 and 9,122.58

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Solution

The fourth proportional to 16,526.34, 24,747.24 and 9,122.58 is: 13,660.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,526.34 : 24,747.24 = 9,122.58 : x
  2. Step 2: Convert to fraction form
    16,526.34/24,747.24 = 9,122.58/x
  3. Step 3: Cross multiply
    16,526.34x = 24,747.24 × 9,122.58
  4. Step 4: Simplify right side
    16,526.34x = 225,758,676.68
  5. Step 5: Solve for x
    x = 225,758,676.68/16,526.34
  6. Step 6: Final answer
    x = 13,660.54

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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.