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Finding the Fourth Proportional to 25,585.44, 35,310.50 and 14,256.78

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Solution

The fourth proportional to 25,585.44, 35,310.50 and 14,256.78 is: 19,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,585.44 : 35,310.50 = 14,256.78 : x
  2. Step 2: Convert to fraction form
    25,585.44/35,310.50 = 14,256.78/x
  3. Step 3: Cross multiply
    25,585.44x = 35,310.50 × 14,256.78
  4. Step 4: Simplify right side
    25,585.44x = 503,413,782.35
  5. Step 5: Solve for x
    x = 503,413,782.35/25,585.44
  6. Step 6: Final answer
    x = 19,675.80

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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.