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Finding the Fourth Proportional to 12,333.86, 17,020.38 and 6,744.50

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Solution

The fourth proportional to 12,333.86, 17,020.38 and 6,744.50 is: 9,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,333.86 : 17,020.38 = 6,744.50 : x
  2. Step 2: Convert to fraction form
    12,333.86/17,020.38 = 6,744.50/x
  3. Step 3: Cross multiply
    12,333.86x = 17,020.38 × 6,744.50
  4. Step 4: Simplify right side
    12,333.86x = 114,793,952.91
  5. Step 5: Solve for x
    x = 114,793,952.91/12,333.86
  6. Step 6: Final answer
    x = 9,307.22

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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.