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Finding the Fourth Proportional to 25,235.82, 37,853.82 and 8,597.70

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Solution

The fourth proportional to 25,235.82, 37,853.82 and 8,597.70 is: 12,896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,235.82 : 37,853.82 = 8,597.70 : x
  2. Step 2: Convert to fraction form
    25,235.82/37,853.82 = 8,597.70/x
  3. Step 3: Cross multiply
    25,235.82x = 37,853.82 × 8,597.70
  4. Step 4: Simplify right side
    25,235.82x = 325,455,788.21
  5. Step 5: Solve for x
    x = 325,455,788.21/25,235.82
  6. Step 6: Final answer
    x = 12,896.58

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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.