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Finding the Fourth Proportional to 25,847.36, 35,671.12 and 14,363.64

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Solution

The fourth proportional to 25,847.36, 35,671.12 and 14,363.64 is: 19,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,847.36 : 35,671.12 = 14,363.64 : x
  2. Step 2: Convert to fraction form
    25,847.36/35,671.12 = 14,363.64/x
  3. Step 3: Cross multiply
    25,847.36x = 35,671.12 × 14,363.64
  4. Step 4: Simplify right side
    25,847.36x = 512,367,126.08
  5. Step 5: Solve for x
    x = 512,367,126.08/25,847.36
  6. Step 6: Final answer
    x = 19,822.80

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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.