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Finding the Fourth Proportional to 12,433.70, 18,653.61 and 10,216.28

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Solution

The fourth proportional to 12,433.70, 18,653.61 and 10,216.28 is: 15,326.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.70 : 18,653.61 = 10,216.28 : x
  2. Step 2: Convert to fraction form
    12,433.70/18,653.61 = 10,216.28/x
  3. Step 3: Cross multiply
    12,433.70x = 18,653.61 × 10,216.28
  4. Step 4: Simplify right side
    12,433.70x = 190,570,502.77
  5. Step 5: Solve for x
    x = 190,570,502.77/12,433.70
  6. Step 6: Final answer
    x = 15,326.93

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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.