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Finding the Fourth Proportional to 21,072.06, 31,589.46 and 8,602.50

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Solution

The fourth proportional to 21,072.06, 31,589.46 and 8,602.50 is: 12,896.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,072.06 : 31,589.46 = 8,602.50 : x
  2. Step 2: Convert to fraction form
    21,072.06/31,589.46 = 8,602.50/x
  3. Step 3: Cross multiply
    21,072.06x = 31,589.46 × 8,602.50
  4. Step 4: Simplify right side
    21,072.06x = 271,748,329.65
  5. Step 5: Solve for x
    x = 271,748,329.65/21,072.06
  6. Step 6: Final answer
    x = 12,896.14

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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.