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Finding the Fourth Proportional to 26,502, 39,753.72 and 8,034

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Solution

The fourth proportional to 26,502, 39,753.72 and 8,034 is: 12,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,502 : 39,753.72 = 8,034 : x
  2. Step 2: Convert to fraction form
    26,502/39,753.72 = 8,034/x
  3. Step 3: Cross multiply
    26,502x = 39,753.72 × 8,034
  4. Step 4: Simplify right side
    26,502x = 319,381,386.48
  5. Step 5: Solve for x
    x = 319,381,386.48/26,502
  6. Step 6: Final answer
    x = 12,051.22

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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.