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Finding the Fourth Proportional to 25,200.72, 34,775.64 and 14,022

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Solution

The fourth proportional to 25,200.72, 34,775.64 and 14,022 is: 19,349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,200.72 : 34,775.64 = 14,022 : x
  2. Step 2: Convert to fraction form
    25,200.72/34,775.64 = 14,022/x
  3. Step 3: Cross multiply
    25,200.72x = 34,775.64 × 14,022
  4. Step 4: Simplify right side
    25,200.72x = 487,624,024.08
  5. Step 5: Solve for x
    x = 487,624,024.08/25,200.72
  6. Step 6: Final answer
    x = 19,349.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.