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Finding the Fourth Proportional to 14,571.09, 21,823.83 and 6,763.50

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Solution

The fourth proportional to 14,571.09, 21,823.83 and 6,763.50 is: 10,130.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.09 : 21,823.83 = 6,763.50 : x
  2. Step 2: Convert to fraction form
    14,571.09/21,823.83 = 6,763.50/x
  3. Step 3: Cross multiply
    14,571.09x = 21,823.83 × 6,763.50
  4. Step 4: Simplify right side
    14,571.09x = 147,605,474.21
  5. Step 5: Solve for x
    x = 147,605,474.21/14,571.09
  6. Step 6: Final answer
    x = 10,130.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.