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Finding the Fourth Proportional to 26,361, 36,378.21 and 14,424.24

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Solution

The fourth proportional to 26,361, 36,378.21 and 14,424.24 is: 19,905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,361 : 36,378.21 = 14,424.24 : x
  2. Step 2: Convert to fraction form
    26,361/36,378.21 = 14,424.24/x
  3. Step 3: Cross multiply
    26,361x = 36,378.21 × 14,424.24
  4. Step 4: Simplify right side
    26,361x = 524,728,031.81
  5. Step 5: Solve for x
    x = 524,728,031.81/26,361
  6. Step 6: Final answer
    x = 19,905.47

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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.