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Finding the Fourth Proportional to 21,380.40, 32,069.88 and 14,410.44

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Solution

The fourth proportional to 21,380.40, 32,069.88 and 14,410.44 is: 21,615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,380.40 : 32,069.88 = 14,410.44 : x
  2. Step 2: Convert to fraction form
    21,380.40/32,069.88 = 14,410.44/x
  3. Step 3: Cross multiply
    21,380.40x = 32,069.88 × 14,410.44
  4. Step 4: Simplify right side
    21,380.40x = 462,141,081.55
  5. Step 5: Solve for x
    x = 462,141,081.55/21,380.40
  6. Step 6: Final answer
    x = 21,615.17

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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.