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Finding the Fourth Proportional to 38,376, 57,567.26 and 10,674

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Solution

The fourth proportional to 38,376, 57,567.26 and 10,674 is: 16,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,376 : 57,567.26 = 10,674 : x
  2. Step 2: Convert to fraction form
    38,376/57,567.26 = 10,674/x
  3. Step 3: Cross multiply
    38,376x = 57,567.26 × 10,674
  4. Step 4: Simplify right side
    38,376x = 614,472,933.24
  5. Step 5: Solve for x
    x = 614,472,933.24/38,376
  6. Step 6: Final answer
    x = 16,011.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.