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Finding the Fourth Proportional to 14,420.50, 19,900.32 and 7,796.50

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Solution

The fourth proportional to 14,420.50, 19,900.32 and 7,796.50 is: 10,759.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420.50 : 19,900.32 = 7,796.50 : x
  2. Step 2: Convert to fraction form
    14,420.50/19,900.32 = 7,796.50/x
  3. Step 3: Cross multiply
    14,420.50x = 19,900.32 × 7,796.50
  4. Step 4: Simplify right side
    14,420.50x = 155,152,844.88
  5. Step 5: Solve for x
    x = 155,152,844.88/14,420.50
  6. Step 6: Final answer
    x = 10,759.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.