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Finding the Fourth Proportional to 17,614.74, 24,312.94 and 10,896.46

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Solution

The fourth proportional to 17,614.74, 24,312.94 and 10,896.46 is: 15,039.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,614.74 : 24,312.94 = 10,896.46 : x
  2. Step 2: Convert to fraction form
    17,614.74/24,312.94 = 10,896.46/x
  3. Step 3: Cross multiply
    17,614.74x = 24,312.94 × 10,896.46
  4. Step 4: Simplify right side
    17,614.74x = 264,924,978.19
  5. Step 5: Solve for x
    x = 264,924,978.19/17,614.74
  6. Step 6: Final answer
    x = 15,039.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.