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Finding the Fourth Proportional to 17,099.45, 23,593.09 and 10,024.51

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Solution

The fourth proportional to 17,099.45, 23,593.09 and 10,024.51 is: 13,831.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,099.45 : 23,593.09 = 10,024.51 : x
  2. Step 2: Convert to fraction form
    17,099.45/23,593.09 = 10,024.51/x
  3. Step 3: Cross multiply
    17,099.45x = 23,593.09 × 10,024.51
  4. Step 4: Simplify right side
    17,099.45x = 236,509,166.64
  5. Step 5: Solve for x
    x = 236,509,166.64/17,099.45
  6. Step 6: Final answer
    x = 13,831.39

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Why These Related Problems?

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