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Finding the Fourth Proportional to 22,268.84, 30,729.53 and 12,709.14

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Solution

The fourth proportional to 22,268.84, 30,729.53 and 12,709.14 is: 17,537.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,268.84 : 30,729.53 = 12,709.14 : x
  2. Step 2: Convert to fraction form
    22,268.84/30,729.53 = 12,709.14/x
  3. Step 3: Cross multiply
    22,268.84x = 30,729.53 × 12,709.14
  4. Step 4: Simplify right side
    22,268.84x = 390,545,815.44
  5. Step 5: Solve for x
    x = 390,545,815.44/22,268.84
  6. Step 6: Final answer
    x = 17,537.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.