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Finding the Fourth Proportional to 13,852.65, 19,110 and 10,069.95

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Solution

The fourth proportional to 13,852.65, 19,110 and 10,069.95 is: 13,891.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.65 : 19,110 = 10,069.95 : x
  2. Step 2: Convert to fraction form
    13,852.65/19,110 = 10,069.95/x
  3. Step 3: Cross multiply
    13,852.65x = 19,110 × 10,069.95
  4. Step 4: Simplify right side
    13,852.65x = 192,436,744.50
  5. Step 5: Solve for x
    x = 192,436,744.50/13,852.65
  6. Step 6: Final answer
    x = 13,891.69

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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.