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Finding the Fourth Proportional to 13,041.30, 19,526.41 and 9,082.83

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Solution

The fourth proportional to 13,041.30, 19,526.41 and 9,082.83 is: 13,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,041.30 : 19,526.41 = 9,082.83 : x
  2. Step 2: Convert to fraction form
    13,041.30/19,526.41 = 9,082.83/x
  3. Step 3: Cross multiply
    13,041.30x = 19,526.41 × 9,082.83
  4. Step 4: Simplify right side
    13,041.30x = 177,355,062.54
  5. Step 5: Solve for x
    x = 177,355,062.54/13,041.30
  6. Step 6: Final answer
    x = 13,599.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.