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Finding the Fourth Proportional to 13,822.82, 19,075.94 and 7,854.13

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Solution

The fourth proportional to 13,822.82, 19,075.94 and 7,854.13 is: 10,838.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.82 : 19,075.94 = 7,854.13 : x
  2. Step 2: Convert to fraction form
    13,822.82/19,075.94 = 7,854.13/x
  3. Step 3: Cross multiply
    13,822.82x = 19,075.94 × 7,854.13
  4. Step 4: Simplify right side
    13,822.82x = 149,824,912.63
  5. Step 5: Solve for x
    x = 149,824,912.63/13,822.82
  6. Step 6: Final answer
    x = 10,838.95

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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.