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Finding the Fourth Proportional to 25,307.44, 37,957.82 and 7,775.80

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Solution

The fourth proportional to 25,307.44, 37,957.82 and 7,775.80 is: 11,662.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,307.44 : 37,957.82 = 7,775.80 : x
  2. Step 2: Convert to fraction form
    25,307.44/37,957.82 = 7,775.80/x
  3. Step 3: Cross multiply
    25,307.44x = 37,957.82 × 7,775.80
  4. Step 4: Simplify right side
    25,307.44x = 295,152,416.76
  5. Step 5: Solve for x
    x = 295,152,416.76/25,307.44
  6. Step 6: Final answer
    x = 11,662.67

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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.