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Finding the Fourth Proportional to 12,892.50, 17,790.30 and 7,226.76

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Solution

The fourth proportional to 12,892.50, 17,790.30 and 7,226.76 is: 9,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.50 : 17,790.30 = 7,226.76 : x
  2. Step 2: Convert to fraction form
    12,892.50/17,790.30 = 7,226.76/x
  3. Step 3: Cross multiply
    12,892.50x = 17,790.30 × 7,226.76
  4. Step 4: Simplify right side
    12,892.50x = 128,566,228.43
  5. Step 5: Solve for x
    x = 128,566,228.43/12,892.50
  6. Step 6: Final answer
    x = 9,972.17

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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.