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Finding the Fourth Proportional to 19,208.69, 28,812.74 and 11,714.45

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Solution

The fourth proportional to 19,208.69, 28,812.74 and 11,714.45 is: 17,571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,208.69 : 28,812.74 = 11,714.45 : x
  2. Step 2: Convert to fraction form
    19,208.69/28,812.74 = 11,714.45/x
  3. Step 3: Cross multiply
    19,208.69x = 28,812.74 × 11,714.45
  4. Step 4: Simplify right side
    19,208.69x = 337,525,402.09
  5. Step 5: Solve for x
    x = 337,525,402.09/19,208.69
  6. Step 6: Final answer
    x = 17,571.50

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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.