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Finding the Fourth Proportional to 20,653.45, 30,962.76 and 8,957.86

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Solution

The fourth proportional to 20,653.45, 30,962.76 and 8,957.86 is: 13,429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,653.45 : 30,962.76 = 8,957.86 : x
  2. Step 2: Convert to fraction form
    20,653.45/30,962.76 = 8,957.86/x
  3. Step 3: Cross multiply
    20,653.45x = 30,962.76 × 8,957.86
  4. Step 4: Simplify right side
    20,653.45x = 277,360,069.29
  5. Step 5: Solve for x
    x = 277,360,069.29/20,653.45
  6. Step 6: Final answer
    x = 13,429.24

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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.