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Finding the Fourth Proportional to 15,490.80, 23,223.18 and 10,797

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Solution

The fourth proportional to 15,490.80, 23,223.18 and 10,797 is: 16,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,490.80 : 23,223.18 = 10,797 : x
  2. Step 2: Convert to fraction form
    15,490.80/23,223.18 = 10,797/x
  3. Step 3: Cross multiply
    15,490.80x = 23,223.18 × 10,797
  4. Step 4: Simplify right side
    15,490.80x = 250,740,674.46
  5. Step 5: Solve for x
    x = 250,740,674.46/15,490.80
  6. Step 6: Final answer
    x = 16,186.43

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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.