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Finding the Fourth Proportional to 22,264.50, 30,716.49 and 14,714.46

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Solution

The fourth proportional to 22,264.50, 30,716.49 and 14,714.46 is: 20,300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,264.50 : 30,716.49 = 14,714.46 : x
  2. Step 2: Convert to fraction form
    22,264.50/30,716.49 = 14,714.46/x
  3. Step 3: Cross multiply
    22,264.50x = 30,716.49 × 14,714.46
  4. Step 4: Simplify right side
    22,264.50x = 451,976,563.45
  5. Step 5: Solve for x
    x = 451,976,563.45/22,264.50
  6. Step 6: Final answer
    x = 20,300.32

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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.