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Finding the Fourth Proportional to 25,196, 37,795.56 and 7,667.12

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Solution

The fourth proportional to 25,196, 37,795.56 and 7,667.12 is: 11,501.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,196 : 37,795.56 = 7,667.12 : x
  2. Step 2: Convert to fraction form
    25,196/37,795.56 = 7,667.12/x
  3. Step 3: Cross multiply
    25,196x = 37,795.56 × 7,667.12
  4. Step 4: Simplify right side
    25,196x = 289,783,093.99
  5. Step 5: Solve for x
    x = 289,783,093.99/25,196
  6. Step 6: Final answer
    x = 11,501.15

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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.