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Finding the Fourth Proportional to 22,014.56, 32,971 and 13,230.12

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Solution

The fourth proportional to 22,014.56, 32,971 and 13,230.12 is: 19,814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,014.56 : 32,971 = 13,230.12 : x
  2. Step 2: Convert to fraction form
    22,014.56/32,971 = 13,230.12/x
  3. Step 3: Cross multiply
    22,014.56x = 32,971 × 13,230.12
  4. Step 4: Simplify right side
    22,014.56x = 436,210,286.52
  5. Step 5: Solve for x
    x = 436,210,286.52/22,014.56
  6. Step 6: Final answer
    x = 19,814.63

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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.