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Finding the Fourth Proportional to 12,937.44, 19,409.73 and 5,151.72

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Solution

The fourth proportional to 12,937.44, 19,409.73 and 5,151.72 is: 7,729.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,937.44 : 19,409.73 = 5,151.72 : x
  2. Step 2: Convert to fraction form
    12,937.44/19,409.73 = 5,151.72/x
  3. Step 3: Cross multiply
    12,937.44x = 19,409.73 × 5,151.72
  4. Step 4: Simplify right side
    12,937.44x = 99,993,494.24
  5. Step 5: Solve for x
    x = 99,993,494.24/12,937.44
  6. Step 6: Final answer
    x = 7,729.00

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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.