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Finding the Fourth Proportional to 25,458.92, 38,173.04 and 11,416.41

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Solution

The fourth proportional to 25,458.92, 38,173.04 and 11,416.41 is: 17,117.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,458.92 : 38,173.04 = 11,416.41 : x
  2. Step 2: Convert to fraction form
    25,458.92/38,173.04 = 11,416.41/x
  3. Step 3: Cross multiply
    25,458.92x = 38,173.04 × 11,416.41
  4. Step 4: Simplify right side
    25,458.92x = 435,799,018.50
  5. Step 5: Solve for x
    x = 435,799,018.50/25,458.92
  6. Step 6: Final answer
    x = 17,117.73

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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.