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Finding the Fourth Proportional to 14,321.64, 19,770.72 and 9,019.32

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Solution

The fourth proportional to 14,321.64, 19,770.72 and 9,019.32 is: 12,450.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.64 : 19,770.72 = 9,019.32 : x
  2. Step 2: Convert to fraction form
    14,321.64/19,770.72 = 9,019.32/x
  3. Step 3: Cross multiply
    14,321.64x = 19,770.72 × 9,019.32
  4. Step 4: Simplify right side
    14,321.64x = 178,318,450.31
  5. Step 5: Solve for x
    x = 178,318,450.31/14,321.64
  6. Step 6: Final answer
    x = 12,450.98

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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.