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Finding the Fourth Proportional to 15,585.57, 23,383.22 and 5,204.61

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Solution

The fourth proportional to 15,585.57, 23,383.22 and 5,204.61 is: 7,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,585.57 : 23,383.22 = 5,204.61 : x
  2. Step 2: Convert to fraction form
    15,585.57/23,383.22 = 5,204.61/x
  3. Step 3: Cross multiply
    15,585.57x = 23,383.22 × 5,204.61
  4. Step 4: Simplify right side
    15,585.57x = 121,700,540.64
  5. Step 5: Solve for x
    x = 121,700,540.64/15,585.57
  6. Step 6: Final answer
    x = 7,808.54

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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.