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Finding the Fourth Proportional to 12,463.63, 18,651.56 and 7,785.84

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Solution

The fourth proportional to 12,463.63, 18,651.56 and 7,785.84 is: 11,651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.63 : 18,651.56 = 7,785.84 : x
  2. Step 2: Convert to fraction form
    12,463.63/18,651.56 = 7,785.84/x
  3. Step 3: Cross multiply
    12,463.63x = 18,651.56 × 7,785.84
  4. Step 4: Simplify right side
    12,463.63x = 145,218,061.91
  5. Step 5: Solve for x
    x = 145,218,061.91/12,463.63
  6. Step 6: Final answer
    x = 11,651.35

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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.