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Finding the Fourth Proportional to 25,150.22, 34,713.54 and 14,546

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Solution

The fourth proportional to 25,150.22, 34,713.54 and 14,546 is: 20,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,150.22 : 34,713.54 = 14,546 : x
  2. Step 2: Convert to fraction form
    25,150.22/34,713.54 = 14,546/x
  3. Step 3: Cross multiply
    25,150.22x = 34,713.54 × 14,546
  4. Step 4: Simplify right side
    25,150.22x = 504,943,152.84
  5. Step 5: Solve for x
    x = 504,943,152.84/25,150.22
  6. Step 6: Final answer
    x = 20,077.09

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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.