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Finding the Fourth Proportional to 13,390.82, 18,465.80 and 9,806.36

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Solution

The fourth proportional to 13,390.82, 18,465.80 and 9,806.36 is: 13,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,390.82 : 18,465.80 = 9,806.36 : x
  2. Step 2: Convert to fraction form
    13,390.82/18,465.80 = 9,806.36/x
  3. Step 3: Cross multiply
    13,390.82x = 18,465.80 × 9,806.36
  4. Step 4: Simplify right side
    13,390.82x = 181,082,282.49
  5. Step 5: Solve for x
    x = 181,082,282.49/13,390.82
  6. Step 6: Final answer
    x = 13,522.87

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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.