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Finding the Fourth Proportional to 21,599.10, 29,809.92 and 12,649.38

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Solution

The fourth proportional to 21,599.10, 29,809.92 and 12,649.38 is: 17,458.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,599.10 : 29,809.92 = 12,649.38 : x
  2. Step 2: Convert to fraction form
    21,599.10/29,809.92 = 12,649.38/x
  3. Step 3: Cross multiply
    21,599.10x = 29,809.92 × 12,649.38
  4. Step 4: Simplify right side
    21,599.10x = 377,077,005.85
  5. Step 5: Solve for x
    x = 377,077,005.85/21,599.10
  6. Step 6: Final answer
    x = 17,458.00

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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.