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Finding the Fourth Proportional to 24,872.15, 37,312.27 and 7,343.75

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Solution

The fourth proportional to 24,872.15, 37,312.27 and 7,343.75 is: 11,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,872.15 : 37,312.27 = 7,343.75 : x
  2. Step 2: Convert to fraction form
    24,872.15/37,312.27 = 7,343.75/x
  3. Step 3: Cross multiply
    24,872.15x = 37,312.27 × 7,343.75
  4. Step 4: Simplify right side
    24,872.15x = 274,011,982.81
  5. Step 5: Solve for x
    x = 274,011,982.81/24,872.15
  6. Step 6: Final answer
    x = 11,016.82

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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.