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Finding the Fourth Proportional to 20,146.40, 30,219.60 and 10,304.90

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Solution

The fourth proportional to 20,146.40, 30,219.60 and 10,304.90 is: 15,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.40 : 30,219.60 = 10,304.90 : x
  2. Step 2: Convert to fraction form
    20,146.40/30,219.60 = 10,304.90/x
  3. Step 3: Cross multiply
    20,146.40x = 30,219.60 × 10,304.90
  4. Step 4: Simplify right side
    20,146.40x = 311,409,956.04
  5. Step 5: Solve for x
    x = 311,409,956.04/20,146.40
  6. Step 6: Final answer
    x = 15,457.35

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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.