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Finding the Fourth Proportional to 21,207, 29,268.36 and 12,823.56

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Solution

The fourth proportional to 21,207, 29,268.36 and 12,823.56 is: 17,698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,207 : 29,268.36 = 12,823.56 : x
  2. Step 2: Convert to fraction form
    21,207/29,268.36 = 12,823.56/x
  3. Step 3: Cross multiply
    21,207x = 29,268.36 × 12,823.56
  4. Step 4: Simplify right side
    21,207x = 375,324,570.56
  5. Step 5: Solve for x
    x = 375,324,570.56/21,207
  6. Step 6: Final answer
    x = 17,698.15

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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.