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Finding the Fourth Proportional to 15,614.12, 23,416.36 and 8,214.56

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Solution

The fourth proportional to 15,614.12, 23,416.36 and 8,214.56 is: 12,319.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,614.12 : 23,416.36 = 8,214.56 : x
  2. Step 2: Convert to fraction form
    15,614.12/23,416.36 = 8,214.56/x
  3. Step 3: Cross multiply
    15,614.12x = 23,416.36 × 8,214.56
  4. Step 4: Simplify right side
    15,614.12x = 192,355,094.20
  5. Step 5: Solve for x
    x = 192,355,094.20/15,614.12
  6. Step 6: Final answer
    x = 12,319.30

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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.