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Finding the Fourth Proportional to 15,294.24, 22,923 and 10,845

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Solution

The fourth proportional to 15,294.24, 22,923 and 10,845 is: 16,254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,294.24 : 22,923 = 10,845 : x
  2. Step 2: Convert to fraction form
    15,294.24/22,923 = 10,845/x
  3. Step 3: Cross multiply
    15,294.24x = 22,923 × 10,845
  4. Step 4: Simplify right side
    15,294.24x = 248,599,935
  5. Step 5: Solve for x
    x = 248,599,935/15,294.24
  6. Step 6: Final answer
    x = 16,254.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.