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Finding the Fourth Proportional to 13,282.83, 19,903.08 and 7,354.56

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Solution

The fourth proportional to 13,282.83, 19,903.08 and 7,354.56 is: 11,020.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282.83 : 19,903.08 = 7,354.56 : x
  2. Step 2: Convert to fraction form
    13,282.83/19,903.08 = 7,354.56/x
  3. Step 3: Cross multiply
    13,282.83x = 19,903.08 × 7,354.56
  4. Step 4: Simplify right side
    13,282.83x = 146,378,396.04
  5. Step 5: Solve for x
    x = 146,378,396.04/13,282.83
  6. Step 6: Final answer
    x = 11,020.12

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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.