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Finding the Fourth Proportional to 20,051.60, 30,057.55 and 9,502.97

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Solution

The fourth proportional to 20,051.60, 30,057.55 and 9,502.97 is: 14,245.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,051.60 : 30,057.55 = 9,502.97 : x
  2. Step 2: Convert to fraction form
    20,051.60/30,057.55 = 9,502.97/x
  3. Step 3: Cross multiply
    20,051.60x = 30,057.55 × 9,502.97
  4. Step 4: Simplify right side
    20,051.60x = 285,636,047.31
  5. Step 5: Solve for x
    x = 285,636,047.31/20,051.60
  6. Step 6: Final answer
    x = 14,245.05

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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.