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Finding the Fourth Proportional to 21,401.40, 32,069.70 and 14,467.80

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Solution

The fourth proportional to 21,401.40, 32,069.70 and 14,467.80 is: 21,679.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,401.40 : 32,069.70 = 14,467.80 : x
  2. Step 2: Convert to fraction form
    21,401.40/32,069.70 = 14,467.80/x
  3. Step 3: Cross multiply
    21,401.40x = 32,069.70 × 14,467.80
  4. Step 4: Simplify right side
    21,401.40x = 463,978,005.66
  5. Step 5: Solve for x
    x = 463,978,005.66/21,401.40
  6. Step 6: Final answer
    x = 21,679.80

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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.