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Finding the Fourth Proportional to 31,002.72, 42,784.16 and 16,855.52

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Solution

The fourth proportional to 31,002.72, 42,784.16 and 16,855.52 is: 23,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,002.72 : 42,784.16 = 16,855.52 : x
  2. Step 2: Convert to fraction form
    31,002.72/42,784.16 = 16,855.52/x
  3. Step 3: Cross multiply
    31,002.72x = 42,784.16 × 16,855.52
  4. Step 4: Simplify right side
    31,002.72x = 721,149,264.56
  5. Step 5: Solve for x
    x = 721,149,264.56/31,002.72
  6. Step 6: Final answer
    x = 23,260.84

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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.