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Finding the Fourth Proportional to 14,553.57, 21,861.45 and 10,420.14

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Solution

The fourth proportional to 14,553.57, 21,861.45 and 10,420.14 is: 15,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,553.57 : 21,861.45 = 10,420.14 : x
  2. Step 2: Convert to fraction form
    14,553.57/21,861.45 = 10,420.14/x
  3. Step 3: Cross multiply
    14,553.57x = 21,861.45 × 10,420.14
  4. Step 4: Simplify right side
    14,553.57x = 227,799,369.60
  5. Step 5: Solve for x
    x = 227,799,369.60/14,553.57
  6. Step 6: Final answer
    x = 15,652.47

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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.