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Finding the Fourth Proportional to 13,678.34, 20,509.31 and 5,348.43

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Solution

The fourth proportional to 13,678.34, 20,509.31 and 5,348.43 is: 8,019.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.34 : 20,509.31 = 5,348.43 : x
  2. Step 2: Convert to fraction form
    13,678.34/20,509.31 = 5,348.43/x
  3. Step 3: Cross multiply
    13,678.34x = 20,509.31 × 5,348.43
  4. Step 4: Simplify right side
    13,678.34x = 109,692,582.14
  5. Step 5: Solve for x
    x = 109,692,582.14/13,678.34
  6. Step 6: Final answer
    x = 8,019.44

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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.