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Finding the Fourth Proportional to 12,912.72, 19,369.08 and 5,123.28

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Solution

The fourth proportional to 12,912.72, 19,369.08 and 5,123.28 is: 7,684.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.72 : 19,369.08 = 5,123.28 : x
  2. Step 2: Convert to fraction form
    12,912.72/19,369.08 = 5,123.28/x
  3. Step 3: Cross multiply
    12,912.72x = 19,369.08 × 5,123.28
  4. Step 4: Simplify right side
    12,912.72x = 99,233,220.18
  5. Step 5: Solve for x
    x = 99,233,220.18/12,912.72
  6. Step 6: Final answer
    x = 7,684.92

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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.