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Finding the Fourth Proportional to 25,200, 37,789.08 and 7,665.76

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Solution

The fourth proportional to 25,200, 37,789.08 and 7,665.76 is: 11,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,200 : 37,789.08 = 7,665.76 : x
  2. Step 2: Convert to fraction form
    25,200/37,789.08 = 7,665.76/x
  3. Step 3: Cross multiply
    25,200x = 37,789.08 × 7,665.76
  4. Step 4: Simplify right side
    25,200x = 289,682,017.90
  5. Step 5: Solve for x
    x = 289,682,017.90/25,200
  6. Step 6: Final answer
    x = 11,495.32

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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.