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Finding the Fourth Proportional to 14,550.46, 21,829.05 and 5,189.98

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Solution

The fourth proportional to 14,550.46, 21,829.05 and 5,189.98 is: 7,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,550.46 : 21,829.05 = 5,189.98 : x
  2. Step 2: Convert to fraction form
    14,550.46/21,829.05 = 5,189.98/x
  3. Step 3: Cross multiply
    14,550.46x = 21,829.05 × 5,189.98
  4. Step 4: Simplify right side
    14,550.46x = 113,292,332.92
  5. Step 5: Solve for x
    x = 113,292,332.92/14,550.46
  6. Step 6: Final answer
    x = 7,786.17

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