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Finding the Fourth Proportional to 31,021.20, 42,807.06 and 16,873.74

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Solution

The fourth proportional to 31,021.20, 42,807.06 and 16,873.74 is: 23,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,021.20 : 42,807.06 = 16,873.74 : x
  2. Step 2: Convert to fraction form
    31,021.20/42,807.06 = 16,873.74/x
  3. Step 3: Cross multiply
    31,021.20x = 42,807.06 × 16,873.74
  4. Step 4: Simplify right side
    31,021.20x = 722,315,200.60
  5. Step 5: Solve for x
    x = 722,315,200.60/31,021.20
  6. Step 6: Final answer
    x = 23,284.57

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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.