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Finding the Fourth Proportional to 21,622.80, 32,369.40 and 12,853.20

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Solution

The fourth proportional to 21,622.80, 32,369.40 and 12,853.20 is: 19,241.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,622.80 : 32,369.40 = 12,853.20 : x
  2. Step 2: Convert to fraction form
    21,622.80/32,369.40 = 12,853.20/x
  3. Step 3: Cross multiply
    21,622.80x = 32,369.40 × 12,853.20
  4. Step 4: Simplify right side
    21,622.80x = 416,050,372.08
  5. Step 5: Solve for x
    x = 416,050,372.08/21,622.80
  6. Step 6: Final answer
    x = 19,241.28

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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.