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Finding the Fourth Proportional to 12,533, 18,802.38 and 4,325

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Solution

The fourth proportional to 12,533, 18,802.38 and 4,325 is: 6,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533 : 18,802.38 = 4,325 : x
  2. Step 2: Convert to fraction form
    12,533/18,802.38 = 4,325/x
  3. Step 3: Cross multiply
    12,533x = 18,802.38 × 4,325
  4. Step 4: Simplify right side
    12,533x = 81,320,293.50
  5. Step 5: Solve for x
    x = 81,320,293.50/12,533
  6. Step 6: Final answer
    x = 6,488.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.