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Finding the Fourth Proportional to 14,135.70, 19,504.74 and 8,165.19

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Solution

The fourth proportional to 14,135.70, 19,504.74 and 8,165.19 is: 11,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.70 : 19,504.74 = 8,165.19 : x
  2. Step 2: Convert to fraction form
    14,135.70/19,504.74 = 8,165.19/x
  3. Step 3: Cross multiply
    14,135.70x = 19,504.74 × 8,165.19
  4. Step 4: Simplify right side
    14,135.70x = 159,259,908.00
  5. Step 5: Solve for x
    x = 159,259,908.00/14,135.70
  6. Step 6: Final answer
    x = 11,266.50

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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.