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Finding the Fourth Proportional to 24,914.56, 37,358.76 and 7,381.84

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Solution

The fourth proportional to 24,914.56, 37,358.76 and 7,381.84 is: 11,068.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,914.56 : 37,358.76 = 7,381.84 : x
  2. Step 2: Convert to fraction form
    24,914.56/37,358.76 = 7,381.84/x
  3. Step 3: Cross multiply
    24,914.56x = 37,358.76 × 7,381.84
  4. Step 4: Simplify right side
    24,914.56x = 275,776,388.92
  5. Step 5: Solve for x
    x = 275,776,388.92/24,914.56
  6. Step 6: Final answer
    x = 11,068.88

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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.