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Finding the Fourth Proportional to 26,234, 36,203.28 and 15,056

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Solution

The fourth proportional to 26,234, 36,203.28 and 15,056 is: 20,777.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,234 : 36,203.28 = 15,056 : x
  2. Step 2: Convert to fraction form
    26,234/36,203.28 = 15,056/x
  3. Step 3: Cross multiply
    26,234x = 36,203.28 × 15,056
  4. Step 4: Simplify right side
    26,234x = 545,076,583.68
  5. Step 5: Solve for x
    x = 545,076,583.68/26,234
  6. Step 6: Final answer
    x = 20,777.49

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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.