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Finding the Fourth Proportional to 28,280.40, 42,393.60 and 10,506.30

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Solution

The fourth proportional to 28,280.40, 42,393.60 and 10,506.30 is: 15,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,280.40 : 42,393.60 = 10,506.30 : x
  2. Step 2: Convert to fraction form
    28,280.40/42,393.60 = 10,506.30/x
  3. Step 3: Cross multiply
    28,280.40x = 42,393.60 × 10,506.30
  4. Step 4: Simplify right side
    28,280.40x = 445,399,879.68
  5. Step 5: Solve for x
    x = 445,399,879.68/28,280.40
  6. Step 6: Final answer
    x = 15,749.42

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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.