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Finding the Fourth Proportional to 12,543.44, 18,820 and 7,616.64

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Solution

The fourth proportional to 12,543.44, 18,820 and 7,616.64 is: 11,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543.44 : 18,820 = 7,616.64 : x
  2. Step 2: Convert to fraction form
    12,543.44/18,820 = 7,616.64/x
  3. Step 3: Cross multiply
    12,543.44x = 18,820 × 7,616.64
  4. Step 4: Simplify right side
    12,543.44x = 143,345,164.80
  5. Step 5: Solve for x
    x = 143,345,164.80/12,543.44
  6. Step 6: Final answer
    x = 11,427.90

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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.