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Finding the Fourth Proportional to 21,189.63, 31,784.44 and 16,513.14

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Solution

The fourth proportional to 21,189.63, 31,784.44 and 16,513.14 is: 24,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.63 : 31,784.44 = 16,513.14 : x
  2. Step 2: Convert to fraction form
    21,189.63/31,784.44 = 16,513.14/x
  3. Step 3: Cross multiply
    21,189.63x = 31,784.44 × 16,513.14
  4. Step 4: Simplify right side
    21,189.63x = 524,860,907.54
  5. Step 5: Solve for x
    x = 524,860,907.54/21,189.63
  6. Step 6: Final answer
    x = 24,769.71

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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.