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Finding the Fourth Proportional to 25,878.63, 35,710.54 and 14,546.33

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Solution

The fourth proportional to 25,878.63, 35,710.54 and 14,546.33 is: 20,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,878.63 : 35,710.54 = 14,546.33 : x
  2. Step 2: Convert to fraction form
    25,878.63/35,710.54 = 14,546.33/x
  3. Step 3: Cross multiply
    25,878.63x = 35,710.54 × 14,546.33
  4. Step 4: Simplify right side
    25,878.63x = 519,457,157.13
  5. Step 5: Solve for x
    x = 519,457,157.13/25,878.63
  6. Step 6: Final answer
    x = 20,072.82

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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.