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Finding the Fourth Proportional to 28,180.74, 38,889.36 and 16,244

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Solution

The fourth proportional to 28,180.74, 38,889.36 and 16,244 is: 22,416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,180.74 : 38,889.36 = 16,244 : x
  2. Step 2: Convert to fraction form
    28,180.74/38,889.36 = 16,244/x
  3. Step 3: Cross multiply
    28,180.74x = 38,889.36 × 16,244
  4. Step 4: Simplify right side
    28,180.74x = 631,718,763.84
  5. Step 5: Solve for x
    x = 631,718,763.84/28,180.74
  6. Step 6: Final answer
    x = 22,416.68

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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.