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Finding the Fourth Proportional to 17,896.42, 24,697.24 and 9,829.54

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Solution

The fourth proportional to 17,896.42, 24,697.24 and 9,829.54 is: 13,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,896.42 : 24,697.24 = 9,829.54 : x
  2. Step 2: Convert to fraction form
    17,896.42/24,697.24 = 9,829.54/x
  3. Step 3: Cross multiply
    17,896.42x = 24,697.24 × 9,829.54
  4. Step 4: Simplify right side
    17,896.42x = 242,762,508.47
  5. Step 5: Solve for x
    x = 242,762,508.47/17,896.42
  6. Step 6: Final answer
    x = 13,564.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.