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Finding the Fourth Proportional to 12,190.59, 18,284 and 3,869.52

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Solution

The fourth proportional to 12,190.59, 18,284 and 3,869.52 is: 5,803.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.59 : 18,284 = 3,869.52 : x
  2. Step 2: Convert to fraction form
    12,190.59/18,284 = 3,869.52/x
  3. Step 3: Cross multiply
    12,190.59x = 18,284 × 3,869.52
  4. Step 4: Simplify right side
    12,190.59x = 70,750,303.68
  5. Step 5: Solve for x
    x = 70,750,303.68/12,190.59
  6. Step 6: Final answer
    x = 5,803.68

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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.