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Finding the Fourth Proportional to 13,826.95, 19,082.33 and 7,860.49

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Solution

The fourth proportional to 13,826.95, 19,082.33 and 7,860.49 is: 10,848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826.95 : 19,082.33 = 7,860.49 : x
  2. Step 2: Convert to fraction form
    13,826.95/19,082.33 = 7,860.49/x
  3. Step 3: Cross multiply
    13,826.95x = 19,082.33 × 7,860.49
  4. Step 4: Simplify right side
    13,826.95x = 149,996,424.84
  5. Step 5: Solve for x
    x = 149,996,424.84/13,826.95
  6. Step 6: Final answer
    x = 10,848.12

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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.