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Finding the Fourth Proportional to 13,206.81, 19,810.23 and 3,346.08

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Solution

The fourth proportional to 13,206.81, 19,810.23 and 3,346.08 is: 5,019.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.81 : 19,810.23 = 3,346.08 : x
  2. Step 2: Convert to fraction form
    13,206.81/19,810.23 = 3,346.08/x
  3. Step 3: Cross multiply
    13,206.81x = 19,810.23 × 3,346.08
  4. Step 4: Simplify right side
    13,206.81x = 66,286,515.35
  5. Step 5: Solve for x
    x = 66,286,515.35/13,206.81
  6. Step 6: Final answer
    x = 5,019.12

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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.