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Finding the Fourth Proportional to 25,196.65, 37,793.60 and 7,665.11

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Solution

The fourth proportional to 25,196.65, 37,793.60 and 7,665.11 is: 11,497.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,196.65 : 37,793.60 = 7,665.11 : x
  2. Step 2: Convert to fraction form
    25,196.65/37,793.60 = 7,665.11/x
  3. Step 3: Cross multiply
    25,196.65x = 37,793.60 × 7,665.11
  4. Step 4: Simplify right side
    25,196.65x = 289,692,101.30
  5. Step 5: Solve for x
    x = 289,692,101.30/25,196.65
  6. Step 6: Final answer
    x = 11,497.25

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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.