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Finding the Fourth Proportional to 22,334.64, 30,820.32 and 12,261

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Solution

The fourth proportional to 22,334.64, 30,820.32 and 12,261 is: 16,919.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,334.64 : 30,820.32 = 12,261 : x
  2. Step 2: Convert to fraction form
    22,334.64/30,820.32 = 12,261/x
  3. Step 3: Cross multiply
    22,334.64x = 30,820.32 × 12,261
  4. Step 4: Simplify right side
    22,334.64x = 377,887,943.52
  5. Step 5: Solve for x
    x = 377,887,943.52/22,334.64
  6. Step 6: Final answer
    x = 16,919.37

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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.