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Finding the Fourth Proportional to 25,186.49, 37,777.30 and 7,656.47

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Solution

The fourth proportional to 25,186.49, 37,777.30 and 7,656.47 is: 11,483.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,186.49 : 37,777.30 = 7,656.47 : x
  2. Step 2: Convert to fraction form
    25,186.49/37,777.30 = 7,656.47/x
  3. Step 3: Cross multiply
    25,186.49x = 37,777.30 × 7,656.47
  4. Step 4: Simplify right side
    25,186.49x = 289,240,556.10
  5. Step 5: Solve for x
    x = 289,240,556.10/25,186.49
  6. Step 6: Final answer
    x = 11,483.96

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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.