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Finding the Fourth Proportional to 13,822.71, 19,075.82 and 7,854.63

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Solution

The fourth proportional to 13,822.71, 19,075.82 and 7,854.63 is: 10,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.71 : 19,075.82 = 7,854.63 : x
  2. Step 2: Convert to fraction form
    13,822.71/19,075.82 = 7,854.63/x
  3. Step 3: Cross multiply
    13,822.71x = 19,075.82 × 7,854.63
  4. Step 4: Simplify right side
    13,822.71x = 149,833,508.05
  5. Step 5: Solve for x
    x = 149,833,508.05/13,822.71
  6. Step 6: Final answer
    x = 10,839.66

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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.