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Finding the Fourth Proportional to 20,783.52, 31,185 and 12,025.80

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Solution

The fourth proportional to 20,783.52, 31,185 and 12,025.80 is: 18,044.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.52 : 31,185 = 12,025.80 : x
  2. Step 2: Convert to fraction form
    20,783.52/31,185 = 12,025.80/x
  3. Step 3: Cross multiply
    20,783.52x = 31,185 × 12,025.80
  4. Step 4: Simplify right side
    20,783.52x = 375,024,573
  5. Step 5: Solve for x
    x = 375,024,573/20,783.52
  6. Step 6: Final answer
    x = 18,044.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.