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Finding the Fourth Proportional to 23,823.78, 32,876.76 and 13,215

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Solution

The fourth proportional to 23,823.78, 32,876.76 and 13,215 is: 18,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.78 : 32,876.76 = 13,215 : x
  2. Step 2: Convert to fraction form
    23,823.78/32,876.76 = 13,215/x
  3. Step 3: Cross multiply
    23,823.78x = 32,876.76 × 13,215
  4. Step 4: Simplify right side
    23,823.78x = 434,466,383.40
  5. Step 5: Solve for x
    x = 434,466,383.40/23,823.78
  6. Step 6: Final answer
    x = 18,236.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.