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Finding the Fourth Proportional to 15,511.50, 23,270.49 and 6,277.50

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Solution

The fourth proportional to 15,511.50, 23,270.49 and 6,277.50 is: 9,417.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,511.50 : 23,270.49 = 6,277.50 : x
  2. Step 2: Convert to fraction form
    15,511.50/23,270.49 = 6,277.50/x
  3. Step 3: Cross multiply
    15,511.50x = 23,270.49 × 6,277.50
  4. Step 4: Simplify right side
    15,511.50x = 146,080,500.98
  5. Step 5: Solve for x
    x = 146,080,500.98/15,511.50
  6. Step 6: Final answer
    x = 9,417.56

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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.