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Finding the Fourth Proportional to 17,329.76, 23,921.21 and 10,256.16

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Solution

The fourth proportional to 17,329.76, 23,921.21 and 10,256.16 is: 14,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,329.76 : 23,921.21 = 10,256.16 : x
  2. Step 2: Convert to fraction form
    17,329.76/23,921.21 = 10,256.16/x
  3. Step 3: Cross multiply
    17,329.76x = 23,921.21 × 10,256.16
  4. Step 4: Simplify right side
    17,329.76x = 245,339,705.87
  5. Step 5: Solve for x
    x = 245,339,705.87/17,329.76
  6. Step 6: Final answer
    x = 14,157.14

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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.