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Finding the Fourth Proportional to 12,333, 17,020.98 and 7,365

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Solution

The fourth proportional to 12,333, 17,020.98 and 7,365 is: 10,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,333 : 17,020.98 = 7,365 : x
  2. Step 2: Convert to fraction form
    12,333/17,020.98 = 7,365/x
  3. Step 3: Cross multiply
    12,333x = 17,020.98 × 7,365
  4. Step 4: Simplify right side
    12,333x = 125,359,517.70
  5. Step 5: Solve for x
    x = 125,359,517.70/12,333
  6. Step 6: Final answer
    x = 10,164.56

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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.