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Finding the Fourth Proportional to 19,127.50, 26,398.43 and 10,744

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Solution

The fourth proportional to 19,127.50, 26,398.43 and 10,744 is: 14,828.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,127.50 : 26,398.43 = 10,744 : x
  2. Step 2: Convert to fraction form
    19,127.50/26,398.43 = 10,744/x
  3. Step 3: Cross multiply
    19,127.50x = 26,398.43 × 10,744
  4. Step 4: Simplify right side
    19,127.50x = 283,624,731.92
  5. Step 5: Solve for x
    x = 283,624,731.92/19,127.50
  6. Step 6: Final answer
    x = 14,828.11

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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.