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Finding the Fourth Proportional to 12,197.84, 18,290.20 and 3,875.60

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Solution

The fourth proportional to 12,197.84, 18,290.20 and 3,875.60 is: 5,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.84 : 18,290.20 = 3,875.60 : x
  2. Step 2: Convert to fraction form
    12,197.84/18,290.20 = 3,875.60/x
  3. Step 3: Cross multiply
    12,197.84x = 18,290.20 × 3,875.60
  4. Step 4: Simplify right side
    12,197.84x = 70,885,499.12
  5. Step 5: Solve for x
    x = 70,885,499.12/12,197.84
  6. Step 6: Final answer
    x = 5,811.32

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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.