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Finding the Fourth Proportional to 20,526.84, 30,790.23 and 6,675.84

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Solution

The fourth proportional to 20,526.84, 30,790.23 and 6,675.84 is: 10,013.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,526.84 : 30,790.23 = 6,675.84 : x
  2. Step 2: Convert to fraction form
    20,526.84/30,790.23 = 6,675.84/x
  3. Step 3: Cross multiply
    20,526.84x = 30,790.23 × 6,675.84
  4. Step 4: Simplify right side
    20,526.84x = 205,550,649.04
  5. Step 5: Solve for x
    x = 205,550,649.04/20,526.84
  6. Step 6: Final answer
    x = 10,013.75

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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.