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Finding the Fourth Proportional to 14,369.12, 21,509.12 and 7,778.96

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Solution

The fourth proportional to 14,369.12, 21,509.12 and 7,778.96 is: 11,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,369.12 : 21,509.12 = 7,778.96 : x
  2. Step 2: Convert to fraction form
    14,369.12/21,509.12 = 7,778.96/x
  3. Step 3: Cross multiply
    14,369.12x = 21,509.12 × 7,778.96
  4. Step 4: Simplify right side
    14,369.12x = 167,318,584.12
  5. Step 5: Solve for x
    x = 167,318,584.12/14,369.12
  6. Step 6: Final answer
    x = 11,644.32

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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.