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Finding the Fourth Proportional to 20,347.50, 30,521.79 and 6,496.50

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Solution

The fourth proportional to 20,347.50, 30,521.79 and 6,496.50 is: 9,744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,347.50 : 30,521.79 = 6,496.50 : x
  2. Step 2: Convert to fraction form
    20,347.50/30,521.79 = 6,496.50/x
  3. Step 3: Cross multiply
    20,347.50x = 30,521.79 × 6,496.50
  4. Step 4: Simplify right side
    20,347.50x = 198,284,808.74
  5. Step 5: Solve for x
    x = 198,284,808.74/20,347.50
  6. Step 6: Final answer
    x = 9,744.92

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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.