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Finding the Fourth Proportional to 12,330.23, 17,014.07 and 7,294.73

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Solution

The fourth proportional to 12,330.23, 17,014.07 and 7,294.73 is: 10,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,330.23 : 17,014.07 = 7,294.73 : x
  2. Step 2: Convert to fraction form
    12,330.23/17,014.07 = 7,294.73/x
  3. Step 3: Cross multiply
    12,330.23x = 17,014.07 × 7,294.73
  4. Step 4: Simplify right side
    12,330.23x = 124,113,010.38
  5. Step 5: Solve for x
    x = 124,113,010.38/12,330.23
  6. Step 6: Final answer
    x = 10,065.75

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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.