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Finding the Fourth Proportional to 31,002.90, 42,784.14 and 16,855.68

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Solution

The fourth proportional to 31,002.90, 42,784.14 and 16,855.68 is: 23,260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,002.90 : 42,784.14 = 16,855.68 : x
  2. Step 2: Convert to fraction form
    31,002.90/42,784.14 = 16,855.68/x
  3. Step 3: Cross multiply
    31,002.90x = 42,784.14 × 16,855.68
  4. Step 4: Simplify right side
    31,002.90x = 721,155,772.92
  5. Step 5: Solve for x
    x = 721,155,772.92/31,002.90
  6. Step 6: Final answer
    x = 23,260.91

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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.