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Finding the Fourth Proportional to 12,698.28, 19,006.02 and 11,485.80

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Solution

The fourth proportional to 12,698.28, 19,006.02 and 11,485.80 is: 17,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.28 : 19,006.02 = 11,485.80 : x
  2. Step 2: Convert to fraction form
    12,698.28/19,006.02 = 11,485.80/x
  3. Step 3: Cross multiply
    12,698.28x = 19,006.02 × 11,485.80
  4. Step 4: Simplify right side
    12,698.28x = 218,299,344.52
  5. Step 5: Solve for x
    x = 218,299,344.52/12,698.28
  6. Step 6: Final answer
    x = 17,191.25

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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.