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Finding the Fourth Proportional to 16,414, 24,604.60 and 15,178.36

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Solution

The fourth proportional to 16,414, 24,604.60 and 15,178.36 is: 22,752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414 : 24,604.60 = 15,178.36 : x
  2. Step 2: Convert to fraction form
    16,414/24,604.60 = 15,178.36/x
  3. Step 3: Cross multiply
    16,414x = 24,604.60 × 15,178.36
  4. Step 4: Simplify right side
    16,414x = 373,457,476.46
  5. Step 5: Solve for x
    x = 373,457,476.46/16,414
  6. Step 6: Final answer
    x = 22,752.37

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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.