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Finding the Fourth Proportional to 25,257.36, 37,879.74 and 10,470.36

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Solution

The fourth proportional to 25,257.36, 37,879.74 and 10,470.36 is: 15,702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,257.36 : 37,879.74 = 10,470.36 : x
  2. Step 2: Convert to fraction form
    25,257.36/37,879.74 = 10,470.36/x
  3. Step 3: Cross multiply
    25,257.36x = 37,879.74 × 10,470.36
  4. Step 4: Simplify right side
    25,257.36x = 396,614,514.51
  5. Step 5: Solve for x
    x = 396,614,514.51/25,257.36
  6. Step 6: Final answer
    x = 15,702.93

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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.