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Finding the Fourth Proportional to 12,200.72, 18,302.16 and 3,435.72

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Solution

The fourth proportional to 12,200.72, 18,302.16 and 3,435.72 is: 5,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.72 : 18,302.16 = 3,435.72 : x
  2. Step 2: Convert to fraction form
    12,200.72/18,302.16 = 3,435.72/x
  3. Step 3: Cross multiply
    12,200.72x = 18,302.16 × 3,435.72
  4. Step 4: Simplify right side
    12,200.72x = 62,881,097.16
  5. Step 5: Solve for x
    x = 62,881,097.16/12,200.72
  6. Step 6: Final answer
    x = 5,153.88

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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.