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Finding the Fourth Proportional to 12,534.48, 18,804.20 and 5,609.04

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Solution

The fourth proportional to 12,534.48, 18,804.20 and 5,609.04 is: 8,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.48 : 18,804.20 = 5,609.04 : x
  2. Step 2: Convert to fraction form
    12,534.48/18,804.20 = 5,609.04/x
  3. Step 3: Cross multiply
    12,534.48x = 18,804.20 × 5,609.04
  4. Step 4: Simplify right side
    12,534.48x = 105,473,509.97
  5. Step 5: Solve for x
    x = 105,473,509.97/12,534.48
  6. Step 6: Final answer
    x = 8,414.67

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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.