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Finding the Fourth Proportional to 22,968, 31,699.68 and 17,369.28

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Solution

The fourth proportional to 22,968, 31,699.68 and 17,369.28 is: 23,972.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,968 : 31,699.68 = 17,369.28 : x
  2. Step 2: Convert to fraction form
    22,968/31,699.68 = 17,369.28/x
  3. Step 3: Cross multiply
    22,968x = 31,699.68 × 17,369.28
  4. Step 4: Simplify right side
    22,968x = 550,600,617.83
  5. Step 5: Solve for x
    x = 550,600,617.83/22,968
  6. Step 6: Final answer
    x = 23,972.51

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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.