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Finding the Fourth Proportional to 12,463.66, 18,698.66 and 4,143.72

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Solution

The fourth proportional to 12,463.66, 18,698.66 and 4,143.72 is: 6,216.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.66 : 18,698.66 = 4,143.72 : x
  2. Step 2: Convert to fraction form
    12,463.66/18,698.66 = 4,143.72/x
  3. Step 3: Cross multiply
    12,463.66x = 18,698.66 × 4,143.72
  4. Step 4: Simplify right side
    12,463.66x = 77,482,011.42
  5. Step 5: Solve for x
    x = 77,482,011.42/12,463.66
  6. Step 6: Final answer
    x = 6,216.63

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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.