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Finding the Fourth Proportional to 12,193.34, 18,289.74 and 5,619.52

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Solution

The fourth proportional to 12,193.34, 18,289.74 and 5,619.52 is: 8,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.34 : 18,289.74 = 5,619.52 : x
  2. Step 2: Convert to fraction form
    12,193.34/18,289.74 = 5,619.52/x
  3. Step 3: Cross multiply
    12,193.34x = 18,289.74 × 5,619.52
  4. Step 4: Simplify right side
    12,193.34x = 102,779,559.72
  5. Step 5: Solve for x
    x = 102,779,559.72/12,193.34
  6. Step 6: Final answer
    x = 8,429.16

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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.