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Finding the Fourth Proportional to 14,203.54, 19,600.00 and 7,829.80

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Solution

The fourth proportional to 14,203.54, 19,600.00 and 7,829.80 is: 10,804.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,203.54 : 19,600.00 = 7,829.80 : x
  2. Step 2: Convert to fraction form
    14,203.54/19,600.00 = 7,829.80/x
  3. Step 3: Cross multiply
    14,203.54x = 19,600.00 × 7,829.80
  4. Step 4: Simplify right side
    14,203.54x = 153,464,040.85
  5. Step 5: Solve for x
    x = 153,464,040.85/14,203.54
  6. Step 6: Final answer
    x = 10,804.64

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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.