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Finding the Fourth Proportional to 20,307.54, 30,454.76 and 6,453.30

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Solution

The fourth proportional to 20,307.54, 30,454.76 and 6,453.30 is: 9,677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,307.54 : 30,454.76 = 6,453.30 : x
  2. Step 2: Convert to fraction form
    20,307.54/30,454.76 = 6,453.30/x
  3. Step 3: Cross multiply
    20,307.54x = 30,454.76 × 6,453.30
  4. Step 4: Simplify right side
    20,307.54x = 196,533,702.71
  5. Step 5: Solve for x
    x = 196,533,702.71/20,307.54
  6. Step 6: Final answer
    x = 9,677.87

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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.