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Finding the Fourth Proportional to 12,457.44, 18,689.52 and 4,138.80

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Solution

The fourth proportional to 12,457.44, 18,689.52 and 4,138.80 is: 6,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.44 : 18,689.52 = 4,138.80 : x
  2. Step 2: Convert to fraction form
    12,457.44/18,689.52 = 4,138.80/x
  3. Step 3: Cross multiply
    12,457.44x = 18,689.52 × 4,138.80
  4. Step 4: Simplify right side
    12,457.44x = 77,352,185.38
  5. Step 5: Solve for x
    x = 77,352,185.38/12,457.44
  6. Step 6: Final answer
    x = 6,209.32

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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.