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Finding the Fourth Proportional to 12,721.36, 17,555.08 and 7,416.40

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Solution

The fourth proportional to 12,721.36, 17,555.08 and 7,416.40 is: 10,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,721.36 : 17,555.08 = 7,416.40 : x
  2. Step 2: Convert to fraction form
    12,721.36/17,555.08 = 7,416.40/x
  3. Step 3: Cross multiply
    12,721.36x = 17,555.08 × 7,416.40
  4. Step 4: Simplify right side
    12,721.36x = 130,195,495.31
  5. Step 5: Solve for x
    x = 130,195,495.31/12,721.36
  6. Step 6: Final answer
    x = 10,234.40

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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.