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Finding the Fourth Proportional to 12,250.86, 16,903.23 and 7,773

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Solution

The fourth proportional to 12,250.86, 16,903.23 and 7,773 is: 10,724.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,250.86 : 16,903.23 = 7,773 : x
  2. Step 2: Convert to fraction form
    12,250.86/16,903.23 = 7,773/x
  3. Step 3: Cross multiply
    12,250.86x = 16,903.23 × 7,773
  4. Step 4: Simplify right side
    12,250.86x = 131,388,806.79
  5. Step 5: Solve for x
    x = 131,388,806.79/12,250.86
  6. Step 6: Final answer
    x = 10,724.86

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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.