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Finding the Fourth Proportional to 17,383.74, 23,989.28 and 9,829.88

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Solution

The fourth proportional to 17,383.74, 23,989.28 and 9,829.88 is: 13,565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,383.74 : 23,989.28 = 9,829.88 : x
  2. Step 2: Convert to fraction form
    17,383.74/23,989.28 = 9,829.88/x
  3. Step 3: Cross multiply
    17,383.74x = 23,989.28 × 9,829.88
  4. Step 4: Simplify right side
    17,383.74x = 235,811,743.69
  5. Step 5: Solve for x
    x = 235,811,743.69/17,383.74
  6. Step 6: Final answer
    x = 13,565.08

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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.