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Finding the Fourth Proportional to 22,571, 31,140.78 and 14,619.32

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Solution

The fourth proportional to 22,571, 31,140.78 and 14,619.32 is: 20,170.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,571 : 31,140.78 = 14,619.32 : x
  2. Step 2: Convert to fraction form
    22,571/31,140.78 = 14,619.32/x
  3. Step 3: Cross multiply
    22,571x = 31,140.78 × 14,619.32
  4. Step 4: Simplify right side
    22,571x = 455,257,027.87
  5. Step 5: Solve for x
    x = 455,257,027.87/22,571
  6. Step 6: Final answer
    x = 20,170.00

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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.