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Finding the Fourth Proportional to 15,821.82, 23,713.74 and 7,376.94

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Solution

The fourth proportional to 15,821.82, 23,713.74 and 7,376.94 is: 11,056.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.82 : 23,713.74 = 7,376.94 : x
  2. Step 2: Convert to fraction form
    15,821.82/23,713.74 = 7,376.94/x
  3. Step 3: Cross multiply
    15,821.82x = 23,713.74 × 7,376.94
  4. Step 4: Simplify right side
    15,821.82x = 174,934,837.16
  5. Step 5: Solve for x
    x = 174,934,837.16/15,821.82
  6. Step 6: Final answer
    x = 11,056.56

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Why These Related Problems?

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