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Finding the Fourth Proportional to 20,307.54, 30,457.56 and 9,211.56

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Solution

The fourth proportional to 20,307.54, 30,457.56 and 9,211.56 is: 13,815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,307.54 : 30,457.56 = 9,211.56 : x
  2. Step 2: Convert to fraction form
    20,307.54/30,457.56 = 9,211.56/x
  3. Step 3: Cross multiply
    20,307.54x = 30,457.56 × 9,211.56
  4. Step 4: Simplify right side
    20,307.54x = 280,561,641.39
  5. Step 5: Solve for x
    x = 280,561,641.39/20,307.54
  6. Step 6: Final answer
    x = 13,815.64

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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.