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Finding the Fourth Proportional to 21,201.12, 31,813.20 and 8,897.76

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Solution

The fourth proportional to 21,201.12, 31,813.20 and 8,897.76 is: 13,351.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201.12 : 31,813.20 = 8,897.76 : x
  2. Step 2: Convert to fraction form
    21,201.12/31,813.20 = 8,897.76/x
  3. Step 3: Cross multiply
    21,201.12x = 31,813.20 × 8,897.76
  4. Step 4: Simplify right side
    21,201.12x = 283,066,218.43
  5. Step 5: Solve for x
    x = 283,066,218.43/21,201.12
  6. Step 6: Final answer
    x = 13,351.47

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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.