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Finding the Fourth Proportional to 26,467, 39,700.52 and 11,875

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Solution

The fourth proportional to 26,467, 39,700.52 and 11,875 is: 17,812.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,467 : 39,700.52 = 11,875 : x
  2. Step 2: Convert to fraction form
    26,467/39,700.52 = 11,875/x
  3. Step 3: Cross multiply
    26,467x = 39,700.52 × 11,875
  4. Step 4: Simplify right side
    26,467x = 471,443,675.00
  5. Step 5: Solve for x
    x = 471,443,675.00/26,467
  6. Step 6: Final answer
    x = 17,812.51

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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.