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Finding the Fourth Proportional to 24,950, 34,431.48 and 13,771.76

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Solution

The fourth proportional to 24,950, 34,431.48 and 13,771.76 is: 19,005.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,950 : 34,431.48 = 13,771.76 : x
  2. Step 2: Convert to fraction form
    24,950/34,431.48 = 13,771.76/x
  3. Step 3: Cross multiply
    24,950x = 34,431.48 × 13,771.76
  4. Step 4: Simplify right side
    24,950x = 474,182,079.00
  5. Step 5: Solve for x
    x = 474,182,079.00/24,950
  6. Step 6: Final answer
    x = 19,005.29

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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.