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Finding the Fourth Proportional to 25,534.67, 38,302.02 and 6,814.78

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Solution

The fourth proportional to 25,534.67, 38,302.02 and 6,814.78 is: 10,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,534.67 : 38,302.02 = 6,814.78 : x
  2. Step 2: Convert to fraction form
    25,534.67/38,302.02 = 6,814.78/x
  3. Step 3: Cross multiply
    25,534.67x = 38,302.02 × 6,814.78
  4. Step 4: Simplify right side
    25,534.67x = 261,019,744.10
  5. Step 5: Solve for x
    x = 261,019,744.10/25,534.67
  6. Step 6: Final answer
    x = 10,222.17

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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.