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Finding the Fourth Proportional to 25,536.67, 38,305.02 and 6,816.78

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Solution

The fourth proportional to 25,536.67, 38,305.02 and 6,816.78 is: 10,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,536.67 : 38,305.02 = 6,816.78 : x
  2. Step 2: Convert to fraction form
    25,536.67/38,305.02 = 6,816.78/x
  3. Step 3: Cross multiply
    25,536.67x = 38,305.02 × 6,816.78
  4. Step 4: Simplify right side
    25,536.67x = 261,116,894.24
  5. Step 5: Solve for x
    x = 261,116,894.24/25,536.67
  6. Step 6: Final answer
    x = 10,225.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.