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Finding the Fourth Proportional to 25,307.24, 37,960.92 and 7,776.95

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Solution

The fourth proportional to 25,307.24, 37,960.92 and 7,776.95 is: 11,665.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,307.24 : 37,960.92 = 7,776.95 : x
  2. Step 2: Convert to fraction form
    25,307.24/37,960.92 = 7,776.95/x
  3. Step 3: Cross multiply
    25,307.24x = 37,960.92 × 7,776.95
  4. Step 4: Simplify right side
    25,307.24x = 295,219,986.99
  5. Step 5: Solve for x
    x = 295,219,986.99/25,307.24
  6. Step 6: Final answer
    x = 11,665.44

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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.