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Finding the Fourth Proportional to 25,216.80, 37,825.40 and 7,686.80

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Solution

The fourth proportional to 25,216.80, 37,825.40 and 7,686.80 is: 11,530.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,216.80 : 37,825.40 = 7,686.80 : x
  2. Step 2: Convert to fraction form
    25,216.80/37,825.40 = 7,686.80/x
  3. Step 3: Cross multiply
    25,216.80x = 37,825.40 × 7,686.80
  4. Step 4: Simplify right side
    25,216.80x = 290,756,284.72
  5. Step 5: Solve for x
    x = 290,756,284.72/25,216.80
  6. Step 6: Final answer
    x = 11,530.26

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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.