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Finding the Fourth Proportional to 21,673.89, 32,510.82 and 6,091.50

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Solution

The fourth proportional to 21,673.89, 32,510.82 and 6,091.50 is: 9,137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,673.89 : 32,510.82 = 6,091.50 : x
  2. Step 2: Convert to fraction form
    21,673.89/32,510.82 = 6,091.50/x
  3. Step 3: Cross multiply
    21,673.89x = 32,510.82 × 6,091.50
  4. Step 4: Simplify right side
    21,673.89x = 198,039,660.03
  5. Step 5: Solve for x
    x = 198,039,660.03/21,673.89
  6. Step 6: Final answer
    x = 9,137.25

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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.