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Finding the Fourth Proportional to 25,879.82, 35,709.77 and 14,547.80

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Solution

The fourth proportional to 25,879.82, 35,709.77 and 14,547.80 is: 20,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,879.82 : 35,709.77 = 14,547.80 : x
  2. Step 2: Convert to fraction form
    25,879.82/35,709.77 = 14,547.80/x
  3. Step 3: Cross multiply
    25,879.82x = 35,709.77 × 14,547.80
  4. Step 4: Simplify right side
    25,879.82x = 519,498,717.65
  5. Step 5: Solve for x
    x = 519,498,717.65/25,879.82
  6. Step 6: Final answer
    x = 20,073.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.