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Finding the Fourth Proportional to 13,928.20, 20,897.62 and 8,385.50

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Solution

The fourth proportional to 13,928.20, 20,897.62 and 8,385.50 is: 12,581.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,928.20 : 20,897.62 = 8,385.50 : x
  2. Step 2: Convert to fraction form
    13,928.20/20,897.62 = 8,385.50/x
  3. Step 3: Cross multiply
    13,928.20x = 20,897.62 × 8,385.50
  4. Step 4: Simplify right side
    13,928.20x = 175,236,992.51
  5. Step 5: Solve for x
    x = 175,236,992.51/13,928.20
  6. Step 6: Final answer
    x = 12,581.45

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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.