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Finding the Fourth Proportional to 12,416.38, 17,138.24 and 7,384.16

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Solution

The fourth proportional to 12,416.38, 17,138.24 and 7,384.16 is: 10,192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.38 : 17,138.24 = 7,384.16 : x
  2. Step 2: Convert to fraction form
    12,416.38/17,138.24 = 7,384.16/x
  3. Step 3: Cross multiply
    12,416.38x = 17,138.24 × 7,384.16
  4. Step 4: Simplify right side
    12,416.38x = 126,551,506.28
  5. Step 5: Solve for x
    x = 126,551,506.28/12,416.38
  6. Step 6: Final answer
    x = 10,192.30

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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.