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Finding the Fourth Proportional to 15,580.80, 23,383.62 and 8,189.60

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Solution

The fourth proportional to 15,580.80, 23,383.62 and 8,189.60 is: 12,290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,580.80 : 23,383.62 = 8,189.60 : x
  2. Step 2: Convert to fraction form
    15,580.80/23,383.62 = 8,189.60/x
  3. Step 3: Cross multiply
    15,580.80x = 23,383.62 × 8,189.60
  4. Step 4: Simplify right side
    15,580.80x = 191,502,377.43
  5. Step 5: Solve for x
    x = 191,502,377.43/15,580.80
  6. Step 6: Final answer
    x = 12,290.92

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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.