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Finding the Fourth Proportional to 12,328.41, 17,014.39 and 7,294.24

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Solution

The fourth proportional to 12,328.41, 17,014.39 and 7,294.24 is: 10,066.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328.41 : 17,014.39 = 7,294.24 : x
  2. Step 2: Convert to fraction form
    12,328.41/17,014.39 = 7,294.24/x
  3. Step 3: Cross multiply
    12,328.41x = 17,014.39 × 7,294.24
  4. Step 4: Simplify right side
    12,328.41x = 124,107,044.11
  5. Step 5: Solve for x
    x = 124,107,044.11/12,328.41
  6. Step 6: Final answer
    x = 10,066.75

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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.