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Finding the Fourth Proportional to 12,644.71, 18,950.56 and 9,146.52

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Solution

The fourth proportional to 12,644.71, 18,950.56 and 9,146.52 is: 13,707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.71 : 18,950.56 = 9,146.52 : x
  2. Step 2: Convert to fraction form
    12,644.71/18,950.56 = 9,146.52/x
  3. Step 3: Cross multiply
    12,644.71x = 18,950.56 × 9,146.52
  4. Step 4: Simplify right side
    12,644.71x = 173,331,653.18
  5. Step 5: Solve for x
    x = 173,331,653.18/12,644.71
  6. Step 6: Final answer
    x = 13,707.84

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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.