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Finding the Fourth Proportional to 17,369.58, 23,969.96 and 9,412

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Solution

The fourth proportional to 17,369.58, 23,969.96 and 9,412 is: 12,988.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,369.58 : 23,969.96 = 9,412 : x
  2. Step 2: Convert to fraction form
    17,369.58/23,969.96 = 9,412/x
  3. Step 3: Cross multiply
    17,369.58x = 23,969.96 × 9,412
  4. Step 4: Simplify right side
    17,369.58x = 225,605,263.52
  5. Step 5: Solve for x
    x = 225,605,263.52/17,369.58
  6. Step 6: Final answer
    x = 12,988.53

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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.