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Finding the Fourth Proportional to 20,802.51, 28,709.10 and 11,850.39

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Solution

The fourth proportional to 20,802.51, 28,709.10 and 11,850.39 is: 16,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.51 : 28,709.10 = 11,850.39 : x
  2. Step 2: Convert to fraction form
    20,802.51/28,709.10 = 11,850.39/x
  3. Step 3: Cross multiply
    20,802.51x = 28,709.10 × 11,850.39
  4. Step 4: Simplify right side
    20,802.51x = 340,214,031.55
  5. Step 5: Solve for x
    x = 340,214,031.55/20,802.51
  6. Step 6: Final answer
    x = 16,354.47

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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.