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Finding the Fourth Proportional to 13,144.92, 19,718.73 and 4,259.58

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Solution

The fourth proportional to 13,144.92, 19,718.73 and 4,259.58 is: 6,389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,144.92 : 19,718.73 = 4,259.58 : x
  2. Step 2: Convert to fraction form
    13,144.92/19,718.73 = 4,259.58/x
  3. Step 3: Cross multiply
    13,144.92x = 19,718.73 × 4,259.58
  4. Step 4: Simplify right side
    13,144.92x = 83,993,507.93
  5. Step 5: Solve for x
    x = 83,993,507.93/13,144.92
  6. Step 6: Final answer
    x = 6,389.81

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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.