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Finding the Fourth Proportional to 21,662.30, 32,523.53 and 14,313.98

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Solution

The fourth proportional to 21,662.30, 32,523.53 and 14,313.98 is: 21,490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,662.30 : 32,523.53 = 14,313.98 : x
  2. Step 2: Convert to fraction form
    21,662.30/32,523.53 = 14,313.98/x
  3. Step 3: Cross multiply
    21,662.30x = 32,523.53 × 14,313.98
  4. Step 4: Simplify right side
    21,662.30x = 465,541,167.69
  5. Step 5: Solve for x
    x = 465,541,167.69/21,662.30
  6. Step 6: Final answer
    x = 21,490.84

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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.