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Finding the Fourth Proportional to 12,133.74, 18,200.40 and 5,466.52

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Solution

The fourth proportional to 12,133.74, 18,200.40 and 5,466.52 is: 8,199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.74 : 18,200.40 = 5,466.52 : x
  2. Step 2: Convert to fraction form
    12,133.74/18,200.40 = 5,466.52/x
  3. Step 3: Cross multiply
    12,133.74x = 18,200.40 × 5,466.52
  4. Step 4: Simplify right side
    12,133.74x = 99,492,850.61
  5. Step 5: Solve for x
    x = 99,492,850.61/12,133.74
  6. Step 6: Final answer
    x = 8,199.69

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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.