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Finding the Fourth Proportional to 13,946.62, 19,247.48 and 7,980.24

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Solution

The fourth proportional to 13,946.62, 19,247.48 and 7,980.24 is: 11,013.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,946.62 : 19,247.48 = 7,980.24 : x
  2. Step 2: Convert to fraction form
    13,946.62/19,247.48 = 7,980.24/x
  3. Step 3: Cross multiply
    13,946.62x = 19,247.48 × 7,980.24
  4. Step 4: Simplify right side
    13,946.62x = 153,599,509.80
  5. Step 5: Solve for x
    x = 153,599,509.80/13,946.62
  6. Step 6: Final answer
    x = 11,013.39

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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.