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Finding the Fourth Proportional to 13,678.45, 20,509.47 and 5,348.53

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Solution

The fourth proportional to 13,678.45, 20,509.47 and 5,348.53 is: 8,019.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.45 : 20,509.47 = 5,348.53 : x
  2. Step 2: Convert to fraction form
    13,678.45/20,509.47 = 5,348.53/x
  3. Step 3: Cross multiply
    13,678.45x = 20,509.47 × 5,348.53
  4. Step 4: Simplify right side
    13,678.45x = 109,695,515.58
  5. Step 5: Solve for x
    x = 109,695,515.58/13,678.45
  6. Step 6: Final answer
    x = 8,019.59

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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.