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Finding the Fourth Proportional to 25,418.08, 35,077.04 and 14,240

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Solution

The fourth proportional to 25,418.08, 35,077.04 and 14,240 is: 19,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,418.08 : 35,077.04 = 14,240 : x
  2. Step 2: Convert to fraction form
    25,418.08/35,077.04 = 14,240/x
  3. Step 3: Cross multiply
    25,418.08x = 35,077.04 × 14,240
  4. Step 4: Simplify right side
    25,418.08x = 499,497,049.60
  5. Step 5: Solve for x
    x = 499,497,049.60/25,418.08
  6. Step 6: Final answer
    x = 19,651.25

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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.