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Finding the Fourth Proportional to 14,095.22, 21,142.81 and 5,775.25

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Solution

The fourth proportional to 14,095.22, 21,142.81 and 5,775.25 is: 8,662.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095.22 : 21,142.81 = 5,775.25 : x
  2. Step 2: Convert to fraction form
    14,095.22/21,142.81 = 5,775.25/x
  3. Step 3: Cross multiply
    14,095.22x = 21,142.81 × 5,775.25
  4. Step 4: Simplify right side
    14,095.22x = 122,105,013.45
  5. Step 5: Solve for x
    x = 122,105,013.45/14,095.22
  6. Step 6: Final answer
    x = 8,662.87

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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.