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Finding the Fourth Proportional to 13,414.14, 20,130.42 and 4,649.07

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Solution

The fourth proportional to 13,414.14, 20,130.42 and 4,649.07 is: 6,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.14 : 20,130.42 = 4,649.07 : x
  2. Step 2: Convert to fraction form
    13,414.14/20,130.42 = 4,649.07/x
  3. Step 3: Cross multiply
    13,414.14x = 20,130.42 × 4,649.07
  4. Step 4: Simplify right side
    13,414.14x = 93,587,731.71
  5. Step 5: Solve for x
    x = 93,587,731.71/13,414.14
  6. Step 6: Final answer
    x = 6,976.80

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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.