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Finding the Fourth Proportional to 20,653.39, 30,962.67 and 8,957.80

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Solution

The fourth proportional to 20,653.39, 30,962.67 and 8,957.80 is: 13,429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,653.39 : 30,962.67 = 8,957.80 : x
  2. Step 2: Convert to fraction form
    20,653.39/30,962.67 = 8,957.80/x
  3. Step 3: Cross multiply
    20,653.39x = 30,962.67 × 8,957.80
  4. Step 4: Simplify right side
    20,653.39x = 277,357,360.54
  5. Step 5: Solve for x
    x = 277,357,360.54/20,653.39
  6. Step 6: Final answer
    x = 13,429.14

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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.