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Finding the Fourth Proportional to 25,585.94, 35,311.18 and 14,257.28

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Solution

The fourth proportional to 25,585.94, 35,311.18 and 14,257.28 is: 19,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,585.94 : 35,311.18 = 14,257.28 : x
  2. Step 2: Convert to fraction form
    25,585.94/35,311.18 = 14,257.28/x
  3. Step 3: Cross multiply
    25,585.94x = 35,311.18 × 14,257.28
  4. Step 4: Simplify right side
    25,585.94x = 503,441,380.39
  5. Step 5: Solve for x
    x = 503,441,380.39/25,585.94
  6. Step 6: Final answer
    x = 19,676.49

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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.