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Finding the Fourth Proportional to 25,186.70, 37,778.43 and 7,656.68

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Solution

The fourth proportional to 25,186.70, 37,778.43 and 7,656.68 is: 11,484.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,186.70 : 37,778.43 = 7,656.68 : x
  2. Step 2: Convert to fraction form
    25,186.70/37,778.43 = 7,656.68/x
  3. Step 3: Cross multiply
    25,186.70x = 37,778.43 × 7,656.68
  4. Step 4: Simplify right side
    25,186.70x = 289,257,349.41
  5. Step 5: Solve for x
    x = 289,257,349.41/25,186.70
  6. Step 6: Final answer
    x = 11,484.53

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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.