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Finding the Fourth Proportional to 27,443.04, 41,164.56 and 7,721.60

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Solution

The fourth proportional to 27,443.04, 41,164.56 and 7,721.60 is: 11,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,443.04 : 41,164.56 = 7,721.60 : x
  2. Step 2: Convert to fraction form
    27,443.04/41,164.56 = 7,721.60/x
  3. Step 3: Cross multiply
    27,443.04x = 41,164.56 × 7,721.60
  4. Step 4: Simplify right side
    27,443.04x = 317,856,266.50
  5. Step 5: Solve for x
    x = 317,856,266.50/27,443.04
  6. Step 6: Final answer
    x = 11,582.40

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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.