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Finding the Fourth Proportional to 21,050.96, 31,555.32 and 7,190.48

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Solution

The fourth proportional to 21,050.96, 31,555.32 and 7,190.48 is: 10,778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,050.96 : 31,555.32 = 7,190.48 : x
  2. Step 2: Convert to fraction form
    21,050.96/31,555.32 = 7,190.48/x
  3. Step 3: Cross multiply
    21,050.96x = 31,555.32 × 7,190.48
  4. Step 4: Simplify right side
    21,050.96x = 226,897,897.35
  5. Step 5: Solve for x
    x = 226,897,897.35/21,050.96
  6. Step 6: Final answer
    x = 10,778.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.