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Finding the Fourth Proportional to 21,698.68, 32,546.65 and 6,918.21

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Solution

The fourth proportional to 21,698.68, 32,546.65 and 6,918.21 is: 10,376.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,698.68 : 32,546.65 = 6,918.21 : x
  2. Step 2: Convert to fraction form
    21,698.68/32,546.65 = 6,918.21/x
  3. Step 3: Cross multiply
    21,698.68x = 32,546.65 × 6,918.21
  4. Step 4: Simplify right side
    21,698.68x = 225,164,559.50
  5. Step 5: Solve for x
    x = 225,164,559.50/21,698.68
  6. Step 6: Final answer
    x = 10,376.88

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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.