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Finding the Fourth Proportional to 13,678.95, 20,510.20 and 5,349.03

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Solution

The fourth proportional to 13,678.95, 20,510.20 and 5,349.03 is: 8,020.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.95 : 20,510.20 = 5,349.03 : x
  2. Step 2: Convert to fraction form
    13,678.95/20,510.20 = 5,349.03/x
  3. Step 3: Cross multiply
    13,678.95x = 20,510.20 × 5,349.03
  4. Step 4: Simplify right side
    13,678.95x = 109,709,675.11
  5. Step 5: Solve for x
    x = 109,709,675.11/13,678.95
  6. Step 6: Final answer
    x = 8,020.33

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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.