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Finding the Fourth Proportional to 21,622.40, 32,382.40 and 14,659.20

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Solution

The fourth proportional to 21,622.40, 32,382.40 and 14,659.20 is: 21,954.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,622.40 : 32,382.40 = 14,659.20 : x
  2. Step 2: Convert to fraction form
    21,622.40/32,382.40 = 14,659.20/x
  3. Step 3: Cross multiply
    21,622.40x = 32,382.40 × 14,659.20
  4. Step 4: Simplify right side
    21,622.40x = 474,700,078.08
  5. Step 5: Solve for x
    x = 474,700,078.08/21,622.40
  6. Step 6: Final answer
    x = 21,954.09

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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.