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Finding the Fourth Proportional to 13,541.30, 20,316.30 and 6,520.39

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Solution

The fourth proportional to 13,541.30, 20,316.30 and 6,520.39 is: 9,782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,541.30 : 20,316.30 = 6,520.39 : x
  2. Step 2: Convert to fraction form
    13,541.30/20,316.30 = 6,520.39/x
  3. Step 3: Cross multiply
    13,541.30x = 20,316.30 × 6,520.39
  4. Step 4: Simplify right side
    13,541.30x = 132,470,199.36
  5. Step 5: Solve for x
    x = 132,470,199.36/13,541.30
  6. Step 6: Final answer
    x = 9,782.68

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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.