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Finding the Fourth Proportional to 29,697.26, 40,980.06 and 16,266.34

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Solution

The fourth proportional to 29,697.26, 40,980.06 and 16,266.34 is: 22,446.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697.26 : 40,980.06 = 16,266.34 : x
  2. Step 2: Convert to fraction form
    29,697.26/40,980.06 = 16,266.34/x
  3. Step 3: Cross multiply
    29,697.26x = 40,980.06 × 16,266.34
  4. Step 4: Simplify right side
    29,697.26x = 666,595,589.18
  5. Step 5: Solve for x
    x = 666,595,589.18/29,697.26
  6. Step 6: Final answer
    x = 22,446.37

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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.