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Finding the Fourth Proportional to 13,206.54, 19,810.71 and 3,846.57

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Solution

The fourth proportional to 13,206.54, 19,810.71 and 3,846.57 is: 5,770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.54 : 19,810.71 = 3,846.57 : x
  2. Step 2: Convert to fraction form
    13,206.54/19,810.71 = 3,846.57/x
  3. Step 3: Cross multiply
    13,206.54x = 19,810.71 × 3,846.57
  4. Step 4: Simplify right side
    13,206.54x = 76,203,282.76
  5. Step 5: Solve for x
    x = 76,203,282.76/13,206.54
  6. Step 6: Final answer
    x = 5,770.12

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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.