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Finding the Fourth Proportional to 13,206.43, 19,812.75 and 5,811.49

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Solution

The fourth proportional to 13,206.43, 19,812.75 and 5,811.49 is: 8,718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.43 : 19,812.75 = 5,811.49 : x
  2. Step 2: Convert to fraction form
    13,206.43/19,812.75 = 5,811.49/x
  3. Step 3: Cross multiply
    13,206.43x = 19,812.75 × 5,811.49
  4. Step 4: Simplify right side
    13,206.43x = 115,141,598.50
  5. Step 5: Solve for x
    x = 115,141,598.50/13,206.43
  6. Step 6: Final answer
    x = 8,718.60

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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.