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Finding the Fourth Proportional to 12,301, 16,975.38 and 7,333

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Solution

The fourth proportional to 12,301, 16,975.38 and 7,333 is: 10,119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301 : 16,975.38 = 7,333 : x
  2. Step 2: Convert to fraction form
    12,301/16,975.38 = 7,333/x
  3. Step 3: Cross multiply
    12,301x = 16,975.38 × 7,333
  4. Step 4: Simplify right side
    12,301x = 124,480,461.54
  5. Step 5: Solve for x
    x = 124,480,461.54/12,301
  6. Step 6: Final answer
    x = 10,119.54

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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.