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Finding the Fourth Proportional to 26,422.76, 36,464.63 and 14,487

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Solution

The fourth proportional to 26,422.76, 36,464.63 and 14,487 is: 19,992.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,422.76 : 36,464.63 = 14,487 : x
  2. Step 2: Convert to fraction form
    26,422.76/36,464.63 = 14,487/x
  3. Step 3: Cross multiply
    26,422.76x = 36,464.63 × 14,487
  4. Step 4: Simplify right side
    26,422.76x = 528,263,022.38
  5. Step 5: Solve for x
    x = 528,263,022.38/26,422.76
  6. Step 6: Final answer
    x = 19,992.73

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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.