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Finding the Fourth Proportional to 21,152.34, 31,728.87 and 8,010.90

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Solution

The fourth proportional to 21,152.34, 31,728.87 and 8,010.90 is: 12,016.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,152.34 : 31,728.87 = 8,010.90 : x
  2. Step 2: Convert to fraction form
    21,152.34/31,728.87 = 8,010.90/x
  3. Step 3: Cross multiply
    21,152.34x = 31,728.87 × 8,010.90
  4. Step 4: Simplify right side
    21,152.34x = 254,176,804.68
  5. Step 5: Solve for x
    x = 254,176,804.68/21,152.34
  6. Step 6: Final answer
    x = 12,016.49

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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.