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Finding the Fourth Proportional to 14,311.96, 21,464.70 and 6,523

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Solution

The fourth proportional to 14,311.96, 21,464.70 and 6,523 is: 9,783.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.96 : 21,464.70 = 6,523 : x
  2. Step 2: Convert to fraction form
    14,311.96/21,464.70 = 6,523/x
  3. Step 3: Cross multiply
    14,311.96x = 21,464.70 × 6,523
  4. Step 4: Simplify right side
    14,311.96x = 140,014,238.10
  5. Step 5: Solve for x
    x = 140,014,238.10/14,311.96
  6. Step 6: Final answer
    x = 9,783.02

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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.