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Finding the Fourth Proportional to 29,463, 40,658.94 and 16,215

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Solution

The fourth proportional to 29,463, 40,658.94 and 16,215 is: 22,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,463 : 40,658.94 = 16,215 : x
  2. Step 2: Convert to fraction form
    29,463/40,658.94 = 16,215/x
  3. Step 3: Cross multiply
    29,463x = 40,658.94 × 16,215
  4. Step 4: Simplify right side
    29,463x = 659,284,712.10
  5. Step 5: Solve for x
    x = 659,284,712.10/29,463
  6. Step 6: Final answer
    x = 22,376.70

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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.