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Finding the Fourth Proportional to 12,436.16, 18,649.76 and 4,114.64

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Solution

The fourth proportional to 12,436.16, 18,649.76 and 4,114.64 is: 6,170.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,436.16 : 18,649.76 = 4,114.64 : x
  2. Step 2: Convert to fraction form
    12,436.16/18,649.76 = 4,114.64/x
  3. Step 3: Cross multiply
    12,436.16x = 18,649.76 × 4,114.64
  4. Step 4: Simplify right side
    12,436.16x = 76,737,048.49
  5. Step 5: Solve for x
    x = 76,737,048.49/12,436.16
  6. Step 6: Final answer
    x = 6,170.48

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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.