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Finding the Fourth Proportional to 19,567.84, 26,978.20 and 12,481.96

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Solution

The fourth proportional to 19,567.84, 26,978.20 and 12,481.96 is: 17,208.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,567.84 : 26,978.20 = 12,481.96 : x
  2. Step 2: Convert to fraction form
    19,567.84/26,978.20 = 12,481.96/x
  3. Step 3: Cross multiply
    19,567.84x = 26,978.20 × 12,481.96
  4. Step 4: Simplify right side
    19,567.84x = 336,740,813.27
  5. Step 5: Solve for x
    x = 336,740,813.27/19,567.84
  6. Step 6: Final answer
    x = 17,208.89

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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.