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Finding the Fourth Proportional to 31,021.69, 42,810.14 and 16,874.63

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Solution

The fourth proportional to 31,021.69, 42,810.14 and 16,874.63 is: 23,287.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,021.69 : 42,810.14 = 16,874.63 : x
  2. Step 2: Convert to fraction form
    31,021.69/42,810.14 = 16,874.63/x
  3. Step 3: Cross multiply
    31,021.69x = 42,810.14 × 16,874.63
  4. Step 4: Simplify right side
    31,021.69x = 722,405,272.75
  5. Step 5: Solve for x
    x = 722,405,272.75/31,021.69
  6. Step 6: Final answer
    x = 23,287.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.