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Finding the Fourth Proportional to 24,955.32, 34,438.50 and 13,777.32

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Solution

The fourth proportional to 24,955.32, 34,438.50 and 13,777.32 is: 19,012.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,955.32 : 34,438.50 = 13,777.32 : x
  2. Step 2: Convert to fraction form
    24,955.32/34,438.50 = 13,777.32/x
  3. Step 3: Cross multiply
    24,955.32x = 34,438.50 × 13,777.32
  4. Step 4: Simplify right side
    24,955.32x = 474,470,234.82
  5. Step 5: Solve for x
    x = 474,470,234.82/24,955.32
  6. Step 6: Final answer
    x = 19,012.79

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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.