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Finding the Fourth Proportional to 25,840.80, 35,658.96 and 14,508.84

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Solution

The fourth proportional to 25,840.80, 35,658.96 and 14,508.84 is: 20,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,840.80 : 35,658.96 = 14,508.84 : x
  2. Step 2: Convert to fraction form
    25,840.80/35,658.96 = 14,508.84/x
  3. Step 3: Cross multiply
    25,840.80x = 35,658.96 × 14,508.84
  4. Step 4: Simplify right side
    25,840.80x = 517,370,145.21
  5. Step 5: Solve for x
    x = 517,370,145.21/25,840.80
  6. Step 6: Final answer
    x = 20,021.44

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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.