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Finding the Fourth Proportional to 12,177.53, 18,252.46 and 5,153.16

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Solution

The fourth proportional to 12,177.53, 18,252.46 and 5,153.16 is: 7,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.53 : 18,252.46 = 5,153.16 : x
  2. Step 2: Convert to fraction form
    12,177.53/18,252.46 = 5,153.16/x
  3. Step 3: Cross multiply
    12,177.53x = 18,252.46 × 5,153.16
  4. Step 4: Simplify right side
    12,177.53x = 94,057,846.77
  5. Step 5: Solve for x
    x = 94,057,846.77/12,177.53
  6. Step 6: Final answer
    x = 7,723.89

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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.