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Finding the Fourth Proportional to 21,157.34, 31,736.40 and 8,015.90

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Solution

The fourth proportional to 21,157.34, 31,736.40 and 8,015.90 is: 12,024.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,157.34 : 31,736.40 = 8,015.90 : x
  2. Step 2: Convert to fraction form
    21,157.34/31,736.40 = 8,015.90/x
  3. Step 3: Cross multiply
    21,157.34x = 31,736.40 × 8,015.90
  4. Step 4: Simplify right side
    21,157.34x = 254,395,808.76
  5. Step 5: Solve for x
    x = 254,395,808.76/21,157.34
  6. Step 6: Final answer
    x = 12,024.00

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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.