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Finding the Fourth Proportional to 15,957, 22,022.10 and 9,333

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Solution

The fourth proportional to 15,957, 22,022.10 and 9,333 is: 12,880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,957 : 22,022.10 = 9,333 : x
  2. Step 2: Convert to fraction form
    15,957/22,022.10 = 9,333/x
  3. Step 3: Cross multiply
    15,957x = 22,022.10 × 9,333
  4. Step 4: Simplify right side
    15,957x = 205,532,259.30
  5. Step 5: Solve for x
    x = 205,532,259.30/15,957
  6. Step 6: Final answer
    x = 12,880.38

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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.