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Finding the Fourth Proportional to 14,198.76, 19,594.02 and 8,896.50

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Solution

The fourth proportional to 14,198.76, 19,594.02 and 8,896.50 is: 12,277.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198.76 : 19,594.02 = 8,896.50 : x
  2. Step 2: Convert to fraction form
    14,198.76/19,594.02 = 8,896.50/x
  3. Step 3: Cross multiply
    14,198.76x = 19,594.02 × 8,896.50
  4. Step 4: Simplify right side
    14,198.76x = 174,318,198.93
  5. Step 5: Solve for x
    x = 174,318,198.93/14,198.76
  6. Step 6: Final answer
    x = 12,277.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.