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Finding the Fourth Proportional to 12,900.72, 19,351.08 and 5,113.20

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Solution

The fourth proportional to 12,900.72, 19,351.08 and 5,113.20 is: 7,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900.72 : 19,351.08 = 5,113.20 : x
  2. Step 2: Convert to fraction form
    12,900.72/19,351.08 = 5,113.20/x
  3. Step 3: Cross multiply
    12,900.72x = 19,351.08 × 5,113.20
  4. Step 4: Simplify right side
    12,900.72x = 98,945,942.26
  5. Step 5: Solve for x
    x = 98,945,942.26/12,900.72
  6. Step 6: Final answer
    x = 7,669.80

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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.