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Finding the Fourth Proportional to 12,509.46, 18,764.10 and 4,189.50

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Solution

The fourth proportional to 12,509.46, 18,764.10 and 4,189.50 is: 6,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.46 : 18,764.10 = 4,189.50 : x
  2. Step 2: Convert to fraction form
    12,509.46/18,764.10 = 4,189.50/x
  3. Step 3: Cross multiply
    12,509.46x = 18,764.10 × 4,189.50
  4. Step 4: Simplify right side
    12,509.46x = 78,612,196.95
  5. Step 5: Solve for x
    x = 78,612,196.95/12,509.46
  6. Step 6: Final answer
    x = 6,284.22

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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.