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Finding the Fourth Proportional to 25,668, 35,422.41 and 14,336.88

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Solution

The fourth proportional to 25,668, 35,422.41 and 14,336.88 is: 19,785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,668 : 35,422.41 = 14,336.88 : x
  2. Step 2: Convert to fraction form
    25,668/35,422.41 = 14,336.88/x
  3. Step 3: Cross multiply
    25,668x = 35,422.41 × 14,336.88
  4. Step 4: Simplify right side
    25,668x = 507,846,841.48
  5. Step 5: Solve for x
    x = 507,846,841.48/25,668
  6. Step 6: Final answer
    x = 19,785.21

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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.