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Finding the Fourth Proportional to 28,200.30, 38,914.02 and 16,264.50

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Solution

The fourth proportional to 28,200.30, 38,914.02 and 16,264.50 is: 22,443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,200.30 : 38,914.02 = 16,264.50 : x
  2. Step 2: Convert to fraction form
    28,200.30/38,914.02 = 16,264.50/x
  3. Step 3: Cross multiply
    28,200.30x = 38,914.02 × 16,264.50
  4. Step 4: Simplify right side
    28,200.30x = 632,917,078.29
  5. Step 5: Solve for x
    x = 632,917,078.29/28,200.30
  6. Step 6: Final answer
    x = 22,443.63

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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.