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Finding the Fourth Proportional to 21,874.64, 30,185.12 and 12,922.56

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Solution

The fourth proportional to 21,874.64, 30,185.12 and 12,922.56 is: 17,832.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.64 : 30,185.12 = 12,922.56 : x
  2. Step 2: Convert to fraction form
    21,874.64/30,185.12 = 12,922.56/x
  3. Step 3: Cross multiply
    21,874.64x = 30,185.12 × 12,922.56
  4. Step 4: Simplify right side
    21,874.64x = 390,069,024.31
  5. Step 5: Solve for x
    x = 390,069,024.31/21,874.64
  6. Step 6: Final answer
    x = 17,832.02

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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.