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Finding the Fourth Proportional to 12,435.80, 18,653.09 and 4,644

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Solution

The fourth proportional to 12,435.80, 18,653.09 and 4,644 is: 6,965.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.80 : 18,653.09 = 4,644 : x
  2. Step 2: Convert to fraction form
    12,435.80/18,653.09 = 4,644/x
  3. Step 3: Cross multiply
    12,435.80x = 18,653.09 × 4,644
  4. Step 4: Simplify right side
    12,435.80x = 86,624,926.74
  5. Step 5: Solve for x
    x = 86,624,926.74/12,435.80
  6. Step 6: Final answer
    x = 6,965.77

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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.