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Finding the Fourth Proportional to 13,594.57, 20,398.37 and 7,020.74

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Solution

The fourth proportional to 13,594.57, 20,398.37 and 7,020.74 is: 10,534.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.57 : 20,398.37 = 7,020.74 : x
  2. Step 2: Convert to fraction form
    13,594.57/20,398.37 = 7,020.74/x
  3. Step 3: Cross multiply
    13,594.57x = 20,398.37 × 7,020.74
  4. Step 4: Simplify right side
    13,594.57x = 143,211,668.09
  5. Step 5: Solve for x
    x = 143,211,668.09/13,594.57
  6. Step 6: Final answer
    x = 10,534.48

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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.