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Finding the Fourth Proportional to 31,018.86, 42,806.14 and 16,871.72

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Solution

The fourth proportional to 31,018.86, 42,806.14 and 16,871.72 is: 23,283.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,018.86 : 42,806.14 = 16,871.72 : x
  2. Step 2: Convert to fraction form
    31,018.86/42,806.14 = 16,871.72/x
  3. Step 3: Cross multiply
    31,018.86x = 42,806.14 × 16,871.72
  4. Step 4: Simplify right side
    31,018.86x = 722,213,208.36
  5. Step 5: Solve for x
    x = 722,213,208.36/31,018.86
  6. Step 6: Final answer
    x = 23,283.04

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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.