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Finding the Fourth Proportional to 12,383.31, 17,070.07 and 7,594.39

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Solution

The fourth proportional to 12,383.31, 17,070.07 and 7,594.39 is: 10,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.31 : 17,070.07 = 7,594.39 : x
  2. Step 2: Convert to fraction form
    12,383.31/17,070.07 = 7,594.39/x
  3. Step 3: Cross multiply
    12,383.31x = 17,070.07 × 7,594.39
  4. Step 4: Simplify right side
    12,383.31x = 129,636,768.91
  5. Step 5: Solve for x
    x = 129,636,768.91/12,383.31
  6. Step 6: Final answer
    x = 10,468.67

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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.