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Finding the Fourth Proportional to 16,814.52, 23,204.07 and 9,741.60

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Solution

The fourth proportional to 16,814.52, 23,204.07 and 9,741.60 is: 13,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.52 : 23,204.07 = 9,741.60 : x
  2. Step 2: Convert to fraction form
    16,814.52/23,204.07 = 9,741.60/x
  3. Step 3: Cross multiply
    16,814.52x = 23,204.07 × 9,741.60
  4. Step 4: Simplify right side
    16,814.52x = 226,044,768.31
  5. Step 5: Solve for x
    x = 226,044,768.31/16,814.52
  6. Step 6: Final answer
    x = 13,443.43

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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.