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Finding the Fourth Proportional to 26,924, 40,392.54 and 8,456

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Solution

The fourth proportional to 26,924, 40,392.54 and 8,456 is: 12,686.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,924 : 40,392.54 = 8,456 : x
  2. Step 2: Convert to fraction form
    26,924/40,392.54 = 8,456/x
  3. Step 3: Cross multiply
    26,924x = 40,392.54 × 8,456
  4. Step 4: Simplify right side
    26,924x = 341,559,318.24
  5. Step 5: Solve for x
    x = 341,559,318.24/26,924
  6. Step 6: Final answer
    x = 12,686.05

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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.