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Finding the Fourth Proportional to 20,473.75, 30,653.59 and 10,456.80

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Solution

The fourth proportional to 20,473.75, 30,653.59 and 10,456.80 is: 15,656.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,473.75 : 30,653.59 = 10,456.80 : x
  2. Step 2: Convert to fraction form
    20,473.75/30,653.59 = 10,456.80/x
  3. Step 3: Cross multiply
    20,473.75x = 30,653.59 × 10,456.80
  4. Step 4: Simplify right side
    20,473.75x = 320,538,459.91
  5. Step 5: Solve for x
    x = 320,538,459.91/20,473.75
  6. Step 6: Final answer
    x = 15,656.07

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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.