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Finding the Fourth Proportional to 15,614.64, 23,421.96 and 6,380.64

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Solution

The fourth proportional to 15,614.64, 23,421.96 and 6,380.64 is: 9,570.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,614.64 : 23,421.96 = 6,380.64 : x
  2. Step 2: Convert to fraction form
    15,614.64/23,421.96 = 6,380.64/x
  3. Step 3: Cross multiply
    15,614.64x = 23,421.96 × 6,380.64
  4. Step 4: Simplify right side
    15,614.64x = 149,447,094.85
  5. Step 5: Solve for x
    x = 149,447,094.85/15,614.64
  6. Step 6: Final answer
    x = 9,570.96

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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.