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Finding the Fourth Proportional to 13,510.17, 18,647.99 and 7,847.46

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Solution

The fourth proportional to 13,510.17, 18,647.99 and 7,847.46 is: 10,831.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.17 : 18,647.99 = 7,847.46 : x
  2. Step 2: Convert to fraction form
    13,510.17/18,647.99 = 7,847.46/x
  3. Step 3: Cross multiply
    13,510.17x = 18,647.99 × 7,847.46
  4. Step 4: Simplify right side
    13,510.17x = 146,339,223.13
  5. Step 5: Solve for x
    x = 146,339,223.13/13,510.17
  6. Step 6: Final answer
    x = 10,831.79

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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.