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Finding the Fourth Proportional to 25,496.33, 38,235.87 and 9,697.61

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Solution

The fourth proportional to 25,496.33, 38,235.87 and 9,697.61 is: 14,543.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,496.33 : 38,235.87 = 9,697.61 : x
  2. Step 2: Convert to fraction form
    25,496.33/38,235.87 = 9,697.61/x
  3. Step 3: Cross multiply
    25,496.33x = 38,235.87 × 9,697.61
  4. Step 4: Simplify right side
    25,496.33x = 370,796,555.27
  5. Step 5: Solve for x
    x = 370,796,555.27/25,496.33
  6. Step 6: Final answer
    x = 14,543.13

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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.