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Finding the Fourth Proportional to 12,354.12, 18,528.75 and 5,778.54

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Solution

The fourth proportional to 12,354.12, 18,528.75 and 5,778.54 is: 8,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.12 : 18,528.75 = 5,778.54 : x
  2. Step 2: Convert to fraction form
    12,354.12/18,528.75 = 5,778.54/x
  3. Step 3: Cross multiply
    12,354.12x = 18,528.75 × 5,778.54
  4. Step 4: Simplify right side
    12,354.12x = 107,069,123.03
  5. Step 5: Solve for x
    x = 107,069,123.03/12,354.12
  6. Step 6: Final answer
    x = 8,666.67

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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.