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Finding the Fourth Proportional to 14,381.34, 21,563.20 and 5,606

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Solution

The fourth proportional to 14,381.34, 21,563.20 and 5,606 is: 8,405.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.34 : 21,563.20 = 5,606 : x
  2. Step 2: Convert to fraction form
    14,381.34/21,563.20 = 5,606/x
  3. Step 3: Cross multiply
    14,381.34x = 21,563.20 × 5,606
  4. Step 4: Simplify right side
    14,381.34x = 120,883,285.19
  5. Step 5: Solve for x
    x = 120,883,285.19/14,381.34
  6. Step 6: Final answer
    x = 8,405.57

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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.