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Finding the Fourth Proportional to 25,301.49, 37,950.40 and 7,770.25

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Solution

The fourth proportional to 25,301.49, 37,950.40 and 7,770.25 is: 11,654.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,301.49 : 37,950.40 = 7,770.25 : x
  2. Step 2: Convert to fraction form
    25,301.49/37,950.40 = 7,770.25/x
  3. Step 3: Cross multiply
    25,301.49x = 37,950.40 × 7,770.25
  4. Step 4: Simplify right side
    25,301.49x = 294,884,095.60
  5. Step 5: Solve for x
    x = 294,884,095.60/25,301.49
  6. Step 6: Final answer
    x = 11,654.81

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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.