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Finding the Fourth Proportional to 29,708, 40,997.06 and 16,460

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Solution

The fourth proportional to 29,708, 40,997.06 and 16,460 is: 22,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,708 : 40,997.06 = 16,460 : x
  2. Step 2: Convert to fraction form
    29,708/40,997.06 = 16,460/x
  3. Step 3: Cross multiply
    29,708x = 40,997.06 × 16,460
  4. Step 4: Simplify right side
    29,708x = 674,811,607.60
  5. Step 5: Solve for x
    x = 674,811,607.60/29,708
  6. Step 6: Final answer
    x = 22,714.81

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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.