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Finding the Fourth Proportional to 25,000.14, 34,507.86 and 14,396.82

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Solution

The fourth proportional to 25,000.14, 34,507.86 and 14,396.82 is: 19,872.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,000.14 : 34,507.86 = 14,396.82 : x
  2. Step 2: Convert to fraction form
    25,000.14/34,507.86 = 14,396.82/x
  3. Step 3: Cross multiply
    25,000.14x = 34,507.86 × 14,396.82
  4. Step 4: Simplify right side
    25,000.14x = 496,803,449.01
  5. Step 5: Solve for x
    x = 496,803,449.01/25,000.14
  6. Step 6: Final answer
    x = 19,872.03

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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.