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Finding the Fourth Proportional to 24,955.35, 37,438.34 and 7,185.84

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Solution

The fourth proportional to 24,955.35, 37,438.34 and 7,185.84 is: 10,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,955.35 : 37,438.34 = 7,185.84 : x
  2. Step 2: Convert to fraction form
    24,955.35/37,438.34 = 7,185.84/x
  3. Step 3: Cross multiply
    24,955.35x = 37,438.34 × 7,185.84
  4. Step 4: Simplify right side
    24,955.35x = 269,025,885.18
  5. Step 5: Solve for x
    x = 269,025,885.18/24,955.35
  6. Step 6: Final answer
    x = 10,780.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.