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Finding the Fourth Proportional to 16,134.40, 22,270.92 and 10,176

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Solution

The fourth proportional to 16,134.40, 22,270.92 and 10,176 is: 14,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,134.40 : 22,270.92 = 10,176 : x
  2. Step 2: Convert to fraction form
    16,134.40/22,270.92 = 10,176/x
  3. Step 3: Cross multiply
    16,134.40x = 22,270.92 × 10,176
  4. Step 4: Simplify right side
    16,134.40x = 226,628,881.92
  5. Step 5: Solve for x
    x = 226,628,881.92/16,134.40
  6. Step 6: Final answer
    x = 14,046.32

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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.