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Finding the Fourth Proportional to 31,028.64, 42,820.40 and 16,882.40

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Solution

The fourth proportional to 31,028.64, 42,820.40 and 16,882.40 is: 23,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,028.64 : 42,820.40 = 16,882.40 : x
  2. Step 2: Convert to fraction form
    31,028.64/42,820.40 = 16,882.40/x
  3. Step 3: Cross multiply
    31,028.64x = 42,820.40 × 16,882.40
  4. Step 4: Simplify right side
    31,028.64x = 722,911,120.96
  5. Step 5: Solve for x
    x = 722,911,120.96/31,028.64
  6. Step 6: Final answer
    x = 23,298.19

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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.