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Finding the Fourth Proportional to 25,101.69, 37,646.23 and 10,314.69

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Solution

The fourth proportional to 25,101.69, 37,646.23 and 10,314.69 is: 15,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,101.69 : 37,646.23 = 10,314.69 : x
  2. Step 2: Convert to fraction form
    25,101.69/37,646.23 = 10,314.69/x
  3. Step 3: Cross multiply
    25,101.69x = 37,646.23 × 10,314.69
  4. Step 4: Simplify right side
    25,101.69x = 388,309,192.12
  5. Step 5: Solve for x
    x = 388,309,192.12/25,101.69
  6. Step 6: Final answer
    x = 15,469.44

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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.