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Finding the Fourth Proportional to 12,356.31, 17,035.20 and 10,223.99

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Solution

The fourth proportional to 12,356.31, 17,035.20 and 10,223.99 is: 14,095.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.31 : 17,035.20 = 10,223.99 : x
  2. Step 2: Convert to fraction form
    12,356.31/17,035.20 = 10,223.99/x
  3. Step 3: Cross multiply
    12,356.31x = 17,035.20 × 10,223.99
  4. Step 4: Simplify right side
    12,356.31x = 174,167,629.27
  5. Step 5: Solve for x
    x = 174,167,629.27/12,356.31
  6. Step 6: Final answer
    x = 14,095.44

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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.