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Finding the Fourth Proportional to 14,544.07, 21,814.88 and 5,776.63

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Solution

The fourth proportional to 14,544.07, 21,814.88 and 5,776.63 is: 8,664.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,544.07 : 21,814.88 = 5,776.63 : x
  2. Step 2: Convert to fraction form
    14,544.07/21,814.88 = 5,776.63/x
  3. Step 3: Cross multiply
    14,544.07x = 21,814.88 × 5,776.63
  4. Step 4: Simplify right side
    14,544.07x = 126,016,450.16
  5. Step 5: Solve for x
    x = 126,016,450.16/14,544.07
  6. Step 6: Final answer
    x = 8,664.46

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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.