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Finding the Fourth Proportional to 25,212.49, 37,813.85 and 9,626.47

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Solution

The fourth proportional to 25,212.49, 37,813.85 and 9,626.47 is: 14,437.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,212.49 : 37,813.85 = 9,626.47 : x
  2. Step 2: Convert to fraction form
    25,212.49/37,813.85 = 9,626.47/x
  3. Step 3: Cross multiply
    25,212.49x = 37,813.85 × 9,626.47
  4. Step 4: Simplify right side
    25,212.49x = 364,013,892.61
  5. Step 5: Solve for x
    x = 364,013,892.61/25,212.49
  6. Step 6: Final answer
    x = 14,437.84

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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.