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Finding the Fourth Proportional to 12,133.70, 18,200.55 and 4,738.40

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Solution

The fourth proportional to 12,133.70, 18,200.55 and 4,738.40 is: 7,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.70 : 18,200.55 = 4,738.40 : x
  2. Step 2: Convert to fraction form
    12,133.70/18,200.55 = 4,738.40/x
  3. Step 3: Cross multiply
    12,133.70x = 18,200.55 × 4,738.40
  4. Step 4: Simplify right side
    12,133.70x = 86,241,486.12
  5. Step 5: Solve for x
    x = 86,241,486.12/12,133.70
  6. Step 6: Final answer
    x = 7,107.60

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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.