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Finding the Fourth Proportional to 13,206.30, 19,810.05 and 5,414.50

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Solution

The fourth proportional to 13,206.30, 19,810.05 and 5,414.50 is: 8,122.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.30 : 19,810.05 = 5,414.50 : x
  2. Step 2: Convert to fraction form
    13,206.30/19,810.05 = 5,414.50/x
  3. Step 3: Cross multiply
    13,206.30x = 19,810.05 × 5,414.50
  4. Step 4: Simplify right side
    13,206.30x = 107,261,515.73
  5. Step 5: Solve for x
    x = 107,261,515.73/13,206.30
  6. Step 6: Final answer
    x = 8,122.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.