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Finding the Fourth Proportional to 21,448.80, 32,173.20 and 13,672.80

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Solution

The fourth proportional to 21,448.80, 32,173.20 and 13,672.80 is: 20,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,448.80 : 32,173.20 = 13,672.80 : x
  2. Step 2: Convert to fraction form
    21,448.80/32,173.20 = 13,672.80/x
  3. Step 3: Cross multiply
    21,448.80x = 32,173.20 × 13,672.80
  4. Step 4: Simplify right side
    21,448.80x = 439,897,728.96
  5. Step 5: Solve for x
    x = 439,897,728.96/21,448.80
  6. Step 6: Final answer
    x = 20,509.20

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Why These Related Problems?

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