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Finding the Fourth Proportional to 21,142, 29,180.82 and 12,763.36

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Solution

The fourth proportional to 21,142, 29,180.82 and 12,763.36 is: 17,616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142 : 29,180.82 = 12,763.36 : x
  2. Step 2: Convert to fraction form
    21,142/29,180.82 = 12,763.36/x
  3. Step 3: Cross multiply
    21,142x = 29,180.82 × 12,763.36
  4. Step 4: Simplify right side
    21,142x = 372,445,310.76
  5. Step 5: Solve for x
    x = 372,445,310.76/21,142
  6. Step 6: Final answer
    x = 17,616.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.