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Finding the Fourth Proportional to 29,424, 40,605.18 and 16,176

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Solution

The fourth proportional to 29,424, 40,605.18 and 16,176 is: 22,322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,424 : 40,605.18 = 16,176 : x
  2. Step 2: Convert to fraction form
    29,424/40,605.18 = 16,176/x
  3. Step 3: Cross multiply
    29,424x = 40,605.18 × 16,176
  4. Step 4: Simplify right side
    29,424x = 656,829,391.68
  5. Step 5: Solve for x
    x = 656,829,391.68/29,424
  6. Step 6: Final answer
    x = 22,322.91

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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.