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Finding the Fourth Proportional to 21,963.47, 30,311.75 and 12,533.45

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Solution

The fourth proportional to 21,963.47, 30,311.75 and 12,533.45 is: 17,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,963.47 : 30,311.75 = 12,533.45 : x
  2. Step 2: Convert to fraction form
    21,963.47/30,311.75 = 12,533.45/x
  3. Step 3: Cross multiply
    21,963.47x = 30,311.75 × 12,533.45
  4. Step 4: Simplify right side
    21,963.47x = 379,910,682.81
  5. Step 5: Solve for x
    x = 379,910,682.81/21,963.47
  6. Step 6: Final answer
    x = 17,297.39

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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.