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Finding the Fourth Proportional to 21,457.34, 32,193 and 10,365.30

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Solution

The fourth proportional to 21,457.34, 32,193 and 10,365.30 is: 15,551.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,457.34 : 32,193 = 10,365.30 : x
  2. Step 2: Convert to fraction form
    21,457.34/32,193 = 10,365.30/x
  3. Step 3: Cross multiply
    21,457.34x = 32,193 × 10,365.30
  4. Step 4: Simplify right side
    21,457.34x = 333,690,102.90
  5. Step 5: Solve for x
    x = 333,690,102.90/21,457.34
  6. Step 6: Final answer
    x = 15,551.33

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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.