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Finding the Fourth Proportional to 13,717.81, 18,929.46 and 7,750

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Solution

The fourth proportional to 13,717.81, 18,929.46 and 7,750 is: 10,694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.81 : 18,929.46 = 7,750 : x
  2. Step 2: Convert to fraction form
    13,717.81/18,929.46 = 7,750/x
  3. Step 3: Cross multiply
    13,717.81x = 18,929.46 × 7,750
  4. Step 4: Simplify right side
    13,717.81x = 146,703,315
  5. Step 5: Solve for x
    x = 146,703,315/13,717.81
  6. Step 6: Final answer
    x = 10,694.37

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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.