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Finding the Fourth Proportional to 20,570.18, 30,835.83 and 7,419.02

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Solution

The fourth proportional to 20,570.18, 30,835.83 and 7,419.02 is: 11,121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570.18 : 30,835.83 = 7,419.02 : x
  2. Step 2: Convert to fraction form
    20,570.18/30,835.83 = 7,419.02/x
  3. Step 3: Cross multiply
    20,570.18x = 30,835.83 × 7,419.02
  4. Step 4: Simplify right side
    20,570.18x = 228,771,639.49
  5. Step 5: Solve for x
    x = 228,771,639.49/20,570.18
  6. Step 6: Final answer
    x = 11,121.52

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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.