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Finding the Fourth Proportional to 25,282.69, 37,930.11 and 9,700.31

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Solution

The fourth proportional to 25,282.69, 37,930.11 and 9,700.31 is: 14,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,282.69 : 37,930.11 = 9,700.31 : x
  2. Step 2: Convert to fraction form
    25,282.69/37,930.11 = 9,700.31/x
  3. Step 3: Cross multiply
    25,282.69x = 37,930.11 × 9,700.31
  4. Step 4: Simplify right side
    25,282.69x = 367,933,883.78
  5. Step 5: Solve for x
    x = 367,933,883.78/25,282.69
  6. Step 6: Final answer
    x = 14,552.80

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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.