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Finding the Fourth Proportional to 21,034.81, 31,543.01 and 7,877.96

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Solution

The fourth proportional to 21,034.81, 31,543.01 and 7,877.96 is: 11,813.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,034.81 : 31,543.01 = 7,877.96 : x
  2. Step 2: Convert to fraction form
    21,034.81/31,543.01 = 7,877.96/x
  3. Step 3: Cross multiply
    21,034.81x = 31,543.01 × 7,877.96
  4. Step 4: Simplify right side
    21,034.81x = 248,494,571.06
  5. Step 5: Solve for x
    x = 248,494,571.06/21,034.81
  6. Step 6: Final answer
    x = 11,813.49

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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.