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Finding the Fourth Proportional to 23,802.83, 32,849.84 and 13,195.88

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Solution

The fourth proportional to 23,802.83, 32,849.84 and 13,195.88 is: 18,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.83 : 32,849.84 = 13,195.88 : x
  2. Step 2: Convert to fraction form
    23,802.83/32,849.84 = 13,195.88/x
  3. Step 3: Cross multiply
    23,802.83x = 32,849.84 × 13,195.88
  4. Step 4: Simplify right side
    23,802.83x = 433,482,546.66
  5. Step 5: Solve for x
    x = 433,482,546.66/23,802.83
  6. Step 6: Final answer
    x = 18,211.39

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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.