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Finding the Fourth Proportional to 17,429.76, 26,096 and 13,313.28

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Solution

The fourth proportional to 17,429.76, 26,096 and 13,313.28 is: 19,932.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,429.76 : 26,096 = 13,313.28 : x
  2. Step 2: Convert to fraction form
    17,429.76/26,096 = 13,313.28/x
  3. Step 3: Cross multiply
    17,429.76x = 26,096 × 13,313.28
  4. Step 4: Simplify right side
    17,429.76x = 347,423,354.88
  5. Step 5: Solve for x
    x = 347,423,354.88/17,429.76
  6. Step 6: Final answer
    x = 19,932.77

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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.