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Finding the Fourth Proportional to 20,957.40, 31,460.40 and 12,646.80

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Solution

The fourth proportional to 20,957.40, 31,460.40 and 12,646.80 is: 18,984.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.40 : 31,460.40 = 12,646.80 : x
  2. Step 2: Convert to fraction form
    20,957.40/31,460.40 = 12,646.80/x
  3. Step 3: Cross multiply
    20,957.40x = 31,460.40 × 12,646.80
  4. Step 4: Simplify right side
    20,957.40x = 397,873,386.72
  5. Step 5: Solve for x
    x = 397,873,386.72/20,957.40
  6. Step 6: Final answer
    x = 18,984.86

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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.