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Finding the Fourth Proportional to 28,461.92, 42,705.20 and 11,825.60

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Solution

The fourth proportional to 28,461.92, 42,705.20 and 11,825.60 is: 17,743.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,461.92 : 42,705.20 = 11,825.60 : x
  2. Step 2: Convert to fraction form
    28,461.92/42,705.20 = 11,825.60/x
  3. Step 3: Cross multiply
    28,461.92x = 42,705.20 × 11,825.60
  4. Step 4: Simplify right side
    28,461.92x = 505,014,613.12
  5. Step 5: Solve for x
    x = 505,014,613.12/28,461.92
  6. Step 6: Final answer
    x = 17,743.52

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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.