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Finding the Fourth Proportional to 12,596.47, 18,894.01 and 3,830.70

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Solution

The fourth proportional to 12,596.47, 18,894.01 and 3,830.70 is: 5,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.47 : 18,894.01 = 3,830.70 : x
  2. Step 2: Convert to fraction form
    12,596.47/18,894.01 = 3,830.70/x
  3. Step 3: Cross multiply
    12,596.47x = 18,894.01 × 3,830.70
  4. Step 4: Simplify right side
    12,596.47x = 72,377,284.11
  5. Step 5: Solve for x
    x = 72,377,284.11/12,596.47
  6. Step 6: Final answer
    x = 5,745.84

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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.