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Finding the Fourth Proportional to 26,192.50, 39,294.86 and 7,472.80

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Solution

The fourth proportional to 26,192.50, 39,294.86 and 7,472.80 is: 11,210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,192.50 : 39,294.86 = 7,472.80 : x
  2. Step 2: Convert to fraction form
    26,192.50/39,294.86 = 7,472.80/x
  3. Step 3: Cross multiply
    26,192.50x = 39,294.86 × 7,472.80
  4. Step 4: Simplify right side
    26,192.50x = 293,642,420.53
  5. Step 5: Solve for x
    x = 293,642,420.53/26,192.50
  6. Step 6: Final answer
    x = 11,210.93

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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.