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Finding the Fourth Proportional to 22,643.20, 33,964.80 and 16,811.20

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Solution

The fourth proportional to 22,643.20, 33,964.80 and 16,811.20 is: 25,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,643.20 : 33,964.80 = 16,811.20 : x
  2. Step 2: Convert to fraction form
    22,643.20/33,964.80 = 16,811.20/x
  3. Step 3: Cross multiply
    22,643.20x = 33,964.80 × 16,811.20
  4. Step 4: Simplify right side
    22,643.20x = 570,989,045.76
  5. Step 5: Solve for x
    x = 570,989,045.76/22,643.20
  6. Step 6: Final answer
    x = 25,216.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.