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Finding the Fourth Proportional to 15,273.12, 22,912 and 6,508

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Solution

The fourth proportional to 15,273.12, 22,912 and 6,508 is: 9,762.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,273.12 : 22,912 = 6,508 : x
  2. Step 2: Convert to fraction form
    15,273.12/22,912 = 6,508/x
  3. Step 3: Cross multiply
    15,273.12x = 22,912 × 6,508
  4. Step 4: Simplify right side
    15,273.12x = 149,111,296
  5. Step 5: Solve for x
    x = 149,111,296/15,273.12
  6. Step 6: Final answer
    x = 9,762.99

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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.