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Finding the Fourth Proportional to 21,157.20, 31,735.80 and 13,721.40

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Solution

The fourth proportional to 21,157.20, 31,735.80 and 13,721.40 is: 20,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,157.20 : 31,735.80 = 13,721.40 : x
  2. Step 2: Convert to fraction form
    21,157.20/31,735.80 = 13,721.40/x
  3. Step 3: Cross multiply
    21,157.20x = 31,735.80 × 13,721.40
  4. Step 4: Simplify right side
    21,157.20x = 435,459,606.12
  5. Step 5: Solve for x
    x = 435,459,606.12/21,157.20
  6. Step 6: Final answer
    x = 20,582.10

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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.