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Finding the Fourth Proportional to 12,463.40, 18,688.62 and 7,771.88

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Solution

The fourth proportional to 12,463.40, 18,688.62 and 7,771.88 is: 11,653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.40 : 18,688.62 = 7,771.88 : x
  2. Step 2: Convert to fraction form
    12,463.40/18,688.62 = 7,771.88/x
  3. Step 3: Cross multiply
    12,463.40x = 18,688.62 × 7,771.88
  4. Step 4: Simplify right side
    12,463.40x = 145,245,712.01
  5. Step 5: Solve for x
    x = 145,245,712.01/12,463.40
  6. Step 6: Final answer
    x = 11,653.78

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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.