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Finding the Fourth Proportional to 14,027.77, 21,041.62 and 8,180.28

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Solution

The fourth proportional to 14,027.77, 21,041.62 and 8,180.28 is: 12,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,027.77 : 21,041.62 = 8,180.28 : x
  2. Step 2: Convert to fraction form
    14,027.77/21,041.62 = 8,180.28/x
  3. Step 3: Cross multiply
    14,027.77x = 21,041.62 × 8,180.28
  4. Step 4: Simplify right side
    14,027.77x = 172,126,258.50
  5. Step 5: Solve for x
    x = 172,126,258.50/14,027.77
  6. Step 6: Final answer
    x = 12,270.40

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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.