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Finding the Fourth Proportional to 29,417, 40,596.10 and 16,169

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Solution

The fourth proportional to 29,417, 40,596.10 and 16,169 is: 22,313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,417 : 40,596.10 = 16,169 : x
  2. Step 2: Convert to fraction form
    29,417/40,596.10 = 16,169/x
  3. Step 3: Cross multiply
    29,417x = 40,596.10 × 16,169
  4. Step 4: Simplify right side
    29,417x = 656,398,340.90
  5. Step 5: Solve for x
    x = 656,398,340.90/29,417
  6. Step 6: Final answer
    x = 22,313.57

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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.