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Finding the Fourth Proportional to 21,493.17, 29,662.38 and 12,541.26

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Solution

The fourth proportional to 21,493.17, 29,662.38 and 12,541.26 is: 17,307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,493.17 : 29,662.38 = 12,541.26 : x
  2. Step 2: Convert to fraction form
    21,493.17/29,662.38 = 12,541.26/x
  3. Step 3: Cross multiply
    21,493.17x = 29,662.38 × 12,541.26
  4. Step 4: Simplify right side
    21,493.17x = 372,003,619.80
  5. Step 5: Solve for x
    x = 372,003,619.80/21,493.17
  6. Step 6: Final answer
    x = 17,307.99

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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.