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Finding the Fourth Proportional to 13,120.76, 18,101.48 and 8,646.88

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Solution

The fourth proportional to 13,120.76, 18,101.48 and 8,646.88 is: 11,929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,120.76 : 18,101.48 = 8,646.88 : x
  2. Step 2: Convert to fraction form
    13,120.76/18,101.48 = 8,646.88/x
  3. Step 3: Cross multiply
    13,120.76x = 18,101.48 × 8,646.88
  4. Step 4: Simplify right side
    13,120.76x = 156,521,325.38
  5. Step 5: Solve for x
    x = 156,521,325.38/13,120.76
  6. Step 6: Final answer
    x = 11,929.29

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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.