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Finding the Fourth Proportional to 14,954.80, 22,434 and 13,405.06

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Solution

The fourth proportional to 14,954.80, 22,434 and 13,405.06 is: 20,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,954.80 : 22,434 = 13,405.06 : x
  2. Step 2: Convert to fraction form
    14,954.80/22,434 = 13,405.06/x
  3. Step 3: Cross multiply
    14,954.80x = 22,434 × 13,405.06
  4. Step 4: Simplify right side
    14,954.80x = 300,729,116.04
  5. Step 5: Solve for x
    x = 300,729,116.04/14,954.80
  6. Step 6: Final answer
    x = 20,109.20

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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.