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Finding the Fourth Proportional to 17,128.89, 23,645.16 and 10,416.68

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Solution

The fourth proportional to 17,128.89, 23,645.16 and 10,416.68 is: 14,379.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,128.89 : 23,645.16 = 10,416.68 : x
  2. Step 2: Convert to fraction form
    17,128.89/23,645.16 = 10,416.68/x
  3. Step 3: Cross multiply
    17,128.89x = 23,645.16 × 10,416.68
  4. Step 4: Simplify right side
    17,128.89x = 246,303,947.04
  5. Step 5: Solve for x
    x = 246,303,947.04/17,128.89
  6. Step 6: Final answer
    x = 14,379.45

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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.