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Finding the Fourth Proportional to 20,655.81, 30,978.18 and 8,966.25

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Solution

The fourth proportional to 20,655.81, 30,978.18 and 8,966.25 is: 13,446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,655.81 : 30,978.18 = 8,966.25 : x
  2. Step 2: Convert to fraction form
    20,655.81/30,978.18 = 8,966.25/x
  3. Step 3: Cross multiply
    20,655.81x = 30,978.18 × 8,966.25
  4. Step 4: Simplify right side
    20,655.81x = 277,758,106.43
  5. Step 5: Solve for x
    x = 277,758,106.43/20,655.81
  6. Step 6: Final answer
    x = 13,446.97

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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.