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Finding the Fourth Proportional to 21,224.09, 29,276.22 and 12,604.42

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Solution

The fourth proportional to 21,224.09, 29,276.22 and 12,604.42 is: 17,386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.09 : 29,276.22 = 12,604.42 : x
  2. Step 2: Convert to fraction form
    21,224.09/29,276.22 = 12,604.42/x
  3. Step 3: Cross multiply
    21,224.09x = 29,276.22 × 12,604.42
  4. Step 4: Simplify right side
    21,224.09x = 369,009,741.38
  5. Step 5: Solve for x
    x = 369,009,741.38/21,224.09
  6. Step 6: Final answer
    x = 17,386.36

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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.