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Finding the Fourth Proportional to 17,896.34, 24,697.10 and 9,938.70

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Solution

The fourth proportional to 17,896.34, 24,697.10 and 9,938.70 is: 13,715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,896.34 : 24,697.10 = 9,938.70 : x
  2. Step 2: Convert to fraction form
    17,896.34/24,697.10 = 9,938.70/x
  3. Step 3: Cross multiply
    17,896.34x = 24,697.10 × 9,938.70
  4. Step 4: Simplify right side
    17,896.34x = 245,457,092.62
  5. Step 5: Solve for x
    x = 245,457,092.62/17,896.34
  6. Step 6: Final answer
    x = 13,715.49

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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.