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Finding the Fourth Proportional to 26,704, 40,056.54 and 8,236

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Solution

The fourth proportional to 26,704, 40,056.54 and 8,236 is: 12,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,704 : 40,056.54 = 8,236 : x
  2. Step 2: Convert to fraction form
    26,704/40,056.54 = 8,236/x
  3. Step 3: Cross multiply
    26,704x = 40,056.54 × 8,236
  4. Step 4: Simplify right side
    26,704x = 329,905,663.44
  5. Step 5: Solve for x
    x = 329,905,663.44/26,704
  6. Step 6: Final answer
    x = 12,354.17

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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.