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Finding the Fourth Proportional to 29,697.42, 40,980.68 and 16,266

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Solution

The fourth proportional to 29,697.42, 40,980.68 and 16,266 is: 22,446.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697.42 : 40,980.68 = 16,266 : x
  2. Step 2: Convert to fraction form
    29,697.42/40,980.68 = 16,266/x
  3. Step 3: Cross multiply
    29,697.42x = 40,980.68 × 16,266
  4. Step 4: Simplify right side
    29,697.42x = 666,591,740.88
  5. Step 5: Solve for x
    x = 666,591,740.88/29,697.42
  6. Step 6: Final answer
    x = 22,446.12

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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.