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Finding the Fourth Proportional to 21,847.32, 32,771.04 and 14,450.40

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Solution

The fourth proportional to 21,847.32, 32,771.04 and 14,450.40 is: 21,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,847.32 : 32,771.04 = 14,450.40 : x
  2. Step 2: Convert to fraction form
    21,847.32/32,771.04 = 14,450.40/x
  3. Step 3: Cross multiply
    21,847.32x = 32,771.04 × 14,450.40
  4. Step 4: Simplify right side
    21,847.32x = 473,554,636.42
  5. Step 5: Solve for x
    x = 473,554,636.42/21,847.32
  6. Step 6: Final answer
    x = 21,675.64

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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.