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Finding the Fourth Proportional to 20,656.06, 30,978.56 and 8,966.50

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Solution

The fourth proportional to 20,656.06, 30,978.56 and 8,966.50 is: 13,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,656.06 : 30,978.56 = 8,966.50 : x
  2. Step 2: Convert to fraction form
    20,656.06/30,978.56 = 8,966.50/x
  3. Step 3: Cross multiply
    20,656.06x = 30,978.56 × 8,966.50
  4. Step 4: Simplify right side
    20,656.06x = 277,769,213.41
  5. Step 5: Solve for x
    x = 277,769,213.41/20,656.06
  6. Step 6: Final answer
    x = 13,447.35

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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.