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Finding the Fourth Proportional to 13,852.66, 19,110.02 and 10,069.96

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Solution

The fourth proportional to 13,852.66, 19,110.02 and 10,069.96 is: 13,891.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.66 : 19,110.02 = 10,069.96 : x
  2. Step 2: Convert to fraction form
    13,852.66/19,110.02 = 10,069.96/x
  3. Step 3: Cross multiply
    13,852.66x = 19,110.02 × 10,069.96
  4. Step 4: Simplify right side
    13,852.66x = 192,437,137.00
  5. Step 5: Solve for x
    x = 192,437,137.00/13,852.66
  6. Step 6: Final answer
    x = 13,891.71

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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.