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Finding the Fourth Proportional to 25,210.88, 37,814.94 and 7,679.24

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Solution

The fourth proportional to 25,210.88, 37,814.94 and 7,679.24 is: 11,518.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,210.88 : 37,814.94 = 7,679.24 : x
  2. Step 2: Convert to fraction form
    25,210.88/37,814.94 = 7,679.24/x
  3. Step 3: Cross multiply
    25,210.88x = 37,814.94 × 7,679.24
  4. Step 4: Simplify right side
    25,210.88x = 290,389,999.85
  5. Step 5: Solve for x
    x = 290,389,999.85/25,210.88
  6. Step 6: Final answer
    x = 11,518.44

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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.