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Finding the Fourth Proportional to 14,022.36, 21,045.78 and 5,706.90

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Solution

The fourth proportional to 14,022.36, 21,045.78 and 5,706.90 is: 8,565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022.36 : 21,045.78 = 5,706.90 : x
  2. Step 2: Convert to fraction form
    14,022.36/21,045.78 = 5,706.90/x
  3. Step 3: Cross multiply
    14,022.36x = 21,045.78 × 5,706.90
  4. Step 4: Simplify right side
    14,022.36x = 120,106,161.88
  5. Step 5: Solve for x
    x = 120,106,161.88/14,022.36
  6. Step 6: Final answer
    x = 8,565.33

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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.