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Finding the Fourth Proportional to 13,823.12, 19,075.97 and 7,855.11

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Solution

The fourth proportional to 13,823.12, 19,075.97 and 7,855.11 is: 10,840.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.12 : 19,075.97 = 7,855.11 : x
  2. Step 2: Convert to fraction form
    13,823.12/19,075.97 = 7,855.11/x
  3. Step 3: Cross multiply
    13,823.12x = 19,075.97 × 7,855.11
  4. Step 4: Simplify right side
    13,823.12x = 149,843,842.71
  5. Step 5: Solve for x
    x = 149,843,842.71/13,823.12
  6. Step 6: Final answer
    x = 10,840.09

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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.