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Finding the Fourth Proportional to 13,495.70, 20,226.20 and 6,465.16

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Solution

The fourth proportional to 13,495.70, 20,226.20 and 6,465.16 is: 9,689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,495.70 : 20,226.20 = 6,465.16 : x
  2. Step 2: Convert to fraction form
    13,495.70/20,226.20 = 6,465.16/x
  3. Step 3: Cross multiply
    13,495.70x = 20,226.20 × 6,465.16
  4. Step 4: Simplify right side
    13,495.70x = 130,765,619.19
  5. Step 5: Solve for x
    x = 130,765,619.19/13,495.70
  6. Step 6: Final answer
    x = 9,689.43

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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.