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Finding the Fourth Proportional to 12,148.50, 16,763.67 and 7,112.46

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Solution

The fourth proportional to 12,148.50, 16,763.67 and 7,112.46 is: 9,814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.50 : 16,763.67 = 7,112.46 : x
  2. Step 2: Convert to fraction form
    12,148.50/16,763.67 = 7,112.46/x
  3. Step 3: Cross multiply
    12,148.50x = 16,763.67 × 7,112.46
  4. Step 4: Simplify right side
    12,148.50x = 119,230,932.33
  5. Step 5: Solve for x
    x = 119,230,932.33/12,148.50
  6. Step 6: Final answer
    x = 9,814.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.