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Finding the Fourth Proportional to 12,313.71, 16,992.16 and 7,276.80

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Solution

The fourth proportional to 12,313.71, 16,992.16 and 7,276.80 is: 10,041.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313.71 : 16,992.16 = 7,276.80 : x
  2. Step 2: Convert to fraction form
    12,313.71/16,992.16 = 7,276.80/x
  3. Step 3: Cross multiply
    12,313.71x = 16,992.16 × 7,276.80
  4. Step 4: Simplify right side
    12,313.71x = 123,648,549.89
  5. Step 5: Solve for x
    x = 123,648,549.89/12,313.71
  6. Step 6: Final answer
    x = 10,041.53

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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.