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Finding the Fourth Proportional to 25,651.10, 38,471.78 and 9,007.22

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Solution

The fourth proportional to 25,651.10, 38,471.78 and 9,007.22 is: 13,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,651.10 : 38,471.78 = 9,007.22 : x
  2. Step 2: Convert to fraction form
    25,651.10/38,471.78 = 9,007.22/x
  3. Step 3: Cross multiply
    25,651.10x = 38,471.78 × 9,007.22
  4. Step 4: Simplify right side
    25,651.10x = 346,523,786.25
  5. Step 5: Solve for x
    x = 346,523,786.25/25,651.10
  6. Step 6: Final answer
    x = 13,509.12

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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.