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Finding the Fourth Proportional to 25,057.58, 37,590.71 and 8,419.24

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Solution

The fourth proportional to 25,057.58, 37,590.71 and 8,419.24 is: 12,630.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,057.58 : 37,590.71 = 8,419.24 : x
  2. Step 2: Convert to fraction form
    25,057.58/37,590.71 = 8,419.24/x
  3. Step 3: Cross multiply
    25,057.58x = 37,590.71 × 8,419.24
  4. Step 4: Simplify right side
    25,057.58x = 316,485,042.35
  5. Step 5: Solve for x
    x = 316,485,042.35/25,057.58
  6. Step 6: Final answer
    x = 12,630.31

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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.