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Finding the Fourth Proportional to 21,974.16, 30,317.16 and 12,540.88

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Solution

The fourth proportional to 21,974.16, 30,317.16 and 12,540.88 is: 17,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,974.16 : 30,317.16 = 12,540.88 : x
  2. Step 2: Convert to fraction form
    21,974.16/30,317.16 = 12,540.88/x
  3. Step 3: Cross multiply
    21,974.16x = 30,317.16 × 12,540.88
  4. Step 4: Simplify right side
    21,974.16x = 380,203,865.50
  5. Step 5: Solve for x
    x = 380,203,865.50/21,974.16
  6. Step 6: Final answer
    x = 17,302.32

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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.