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Finding the Fourth Proportional to 25,301.99, 37,951.16 and 7,770.75

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Solution

The fourth proportional to 25,301.99, 37,951.16 and 7,770.75 is: 11,655.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,301.99 : 37,951.16 = 7,770.75 : x
  2. Step 2: Convert to fraction form
    25,301.99/37,951.16 = 7,770.75/x
  3. Step 3: Cross multiply
    25,301.99x = 37,951.16 × 7,770.75
  4. Step 4: Simplify right side
    25,301.99x = 294,908,937.72
  5. Step 5: Solve for x
    x = 294,908,937.72/25,301.99
  6. Step 6: Final answer
    x = 11,655.57

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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.