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Finding the Fourth Proportional to 25,202.98, 34,780.86 and 13,873.63

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Solution

The fourth proportional to 25,202.98, 34,780.86 and 13,873.63 is: 19,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,202.98 : 34,780.86 = 13,873.63 : x
  2. Step 2: Convert to fraction form
    25,202.98/34,780.86 = 13,873.63/x
  3. Step 3: Cross multiply
    25,202.98x = 34,780.86 × 13,873.63
  4. Step 4: Simplify right side
    25,202.98x = 482,536,782.72
  5. Step 5: Solve for x
    x = 482,536,782.72/25,202.98
  6. Step 6: Final answer
    x = 19,146.02

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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.