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Finding the Fourth Proportional to 29,497, 40,705.86 and 16,249

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Solution

The fourth proportional to 29,497, 40,705.86 and 16,249 is: 22,423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,497 : 40,705.86 = 16,249 : x
  2. Step 2: Convert to fraction form
    29,497/40,705.86 = 16,249/x
  3. Step 3: Cross multiply
    29,497x = 40,705.86 × 16,249
  4. Step 4: Simplify right side
    29,497x = 661,429,519.14
  5. Step 5: Solve for x
    x = 661,429,519.14/29,497
  6. Step 6: Final answer
    x = 22,423.62

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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.