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Finding the Fourth Proportional to 29,726.75, 41,023.10 and 16,298.03

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Solution

The fourth proportional to 29,726.75, 41,023.10 and 16,298.03 is: 22,491.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,726.75 : 41,023.10 = 16,298.03 : x
  2. Step 2: Convert to fraction form
    29,726.75/41,023.10 = 16,298.03/x
  3. Step 3: Cross multiply
    29,726.75x = 41,023.10 × 16,298.03
  4. Step 4: Simplify right side
    29,726.75x = 668,595,714.49
  5. Step 5: Solve for x
    x = 668,595,714.49/29,726.75
  6. Step 6: Final answer
    x = 22,491.38

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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.