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Finding the Fourth Proportional to 24,907.50, 34,372.35 and 14,297.82

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Solution

The fourth proportional to 24,907.50, 34,372.35 and 14,297.82 is: 19,730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,907.50 : 34,372.35 = 14,297.82 : x
  2. Step 2: Convert to fraction form
    24,907.50/34,372.35 = 14,297.82/x
  3. Step 3: Cross multiply
    24,907.50x = 34,372.35 × 14,297.82
  4. Step 4: Simplify right side
    24,907.50x = 491,449,544.38
  5. Step 5: Solve for x
    x = 491,449,544.38/24,907.50
  6. Step 6: Final answer
    x = 19,730.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.