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Finding the Fourth Proportional to 13,406.40, 20,095.20 and 5,083.20

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Solution

The fourth proportional to 13,406.40, 20,095.20 and 5,083.20 is: 7,619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.40 : 20,095.20 = 5,083.20 : x
  2. Step 2: Convert to fraction form
    13,406.40/20,095.20 = 5,083.20/x
  3. Step 3: Cross multiply
    13,406.40x = 20,095.20 × 5,083.20
  4. Step 4: Simplify right side
    13,406.40x = 102,147,920.64
  5. Step 5: Solve for x
    x = 102,147,920.64/13,406.40
  6. Step 6: Final answer
    x = 7,619.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.