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Finding the Fourth Proportional to 25,310.72, 37,967.10 and 9,514.10

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Solution

The fourth proportional to 25,310.72, 37,967.10 and 9,514.10 is: 14,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,310.72 : 37,967.10 = 9,514.10 : x
  2. Step 2: Convert to fraction form
    25,310.72/37,967.10 = 9,514.10/x
  3. Step 3: Cross multiply
    25,310.72x = 37,967.10 × 9,514.10
  4. Step 4: Simplify right side
    25,310.72x = 361,222,786.11
  5. Step 5: Solve for x
    x = 361,222,786.11/25,310.72
  6. Step 6: Final answer
    x = 14,271.53

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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.