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Finding the Fourth Proportional to 14,220.26, 19,623.72 and 7,847.48

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Solution

The fourth proportional to 14,220.26, 19,623.72 and 7,847.48 is: 10,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,220.26 : 19,623.72 = 7,847.48 : x
  2. Step 2: Convert to fraction form
    14,220.26/19,623.72 = 7,847.48/x
  3. Step 3: Cross multiply
    14,220.26x = 19,623.72 × 7,847.48
  4. Step 4: Simplify right side
    14,220.26x = 153,996,750.23
  5. Step 5: Solve for x
    x = 153,996,750.23/14,220.26
  6. Step 6: Final answer
    x = 10,829.39

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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.