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Finding the Fourth Proportional to 17,637.16, 26,455.74 and 8,401

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Solution

The fourth proportional to 17,637.16, 26,455.74 and 8,401 is: 12,601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,637.16 : 26,455.74 = 8,401 : x
  2. Step 2: Convert to fraction form
    17,637.16/26,455.74 = 8,401/x
  3. Step 3: Cross multiply
    17,637.16x = 26,455.74 × 8,401
  4. Step 4: Simplify right side
    17,637.16x = 222,254,671.74
  5. Step 5: Solve for x
    x = 222,254,671.74/17,637.16
  6. Step 6: Final answer
    x = 12,601.50

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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.