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Finding the Fourth Proportional to 14,318.96, 21,475.20 and 6,530

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Solution

The fourth proportional to 14,318.96, 21,475.20 and 6,530 is: 9,793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,318.96 : 21,475.20 = 6,530 : x
  2. Step 2: Convert to fraction form
    14,318.96/21,475.20 = 6,530/x
  3. Step 3: Cross multiply
    14,318.96x = 21,475.20 × 6,530
  4. Step 4: Simplify right side
    14,318.96x = 140,233,056
  5. Step 5: Solve for x
    x = 140,233,056/14,318.96
  6. Step 6: Final answer
    x = 9,793.52

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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.