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Finding the Fourth Proportional to 12,333, 17,019.96 and 6,744.36

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Solution

The fourth proportional to 12,333, 17,019.96 and 6,744.36 is: 9,307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,333 : 17,019.96 = 6,744.36 : x
  2. Step 2: Convert to fraction form
    12,333/17,019.96 = 6,744.36/x
  3. Step 3: Cross multiply
    12,333x = 17,019.96 × 6,744.36
  4. Step 4: Simplify right side
    12,333x = 114,788,737.43
  5. Step 5: Solve for x
    x = 114,788,737.43/12,333
  6. Step 6: Final answer
    x = 9,307.45

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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.