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Finding the Fourth Proportional to 24,950, 34,431.05 and 13,772

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Solution

The fourth proportional to 24,950, 34,431.05 and 13,772 is: 19,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,950 : 34,431.05 = 13,772 : x
  2. Step 2: Convert to fraction form
    24,950/34,431.05 = 13,772/x
  3. Step 3: Cross multiply
    24,950x = 34,431.05 × 13,772
  4. Step 4: Simplify right side
    24,950x = 474,184,420.60
  5. Step 5: Solve for x
    x = 474,184,420.60/24,950
  6. Step 6: Final answer
    x = 19,005.39

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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.