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Finding the Fourth Proportional to 13,145.92, 19,718.93 and 3,285.20

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Solution

The fourth proportional to 13,145.92, 19,718.93 and 3,285.20 is: 4,927.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,145.92 : 19,718.93 = 3,285.20 : x
  2. Step 2: Convert to fraction form
    13,145.92/19,718.93 = 3,285.20/x
  3. Step 3: Cross multiply
    13,145.92x = 19,718.93 × 3,285.20
  4. Step 4: Simplify right side
    13,145.92x = 64,780,628.84
  5. Step 5: Solve for x
    x = 64,780,628.84/13,145.92
  6. Step 6: Final answer
    x = 4,927.81

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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.