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Finding the Fourth Proportional to 24,732.36, 37,102.86 and 10,881

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Solution

The fourth proportional to 24,732.36, 37,102.86 and 10,881 is: 16,323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,732.36 : 37,102.86 = 10,881 : x
  2. Step 2: Convert to fraction form
    24,732.36/37,102.86 = 10,881/x
  3. Step 3: Cross multiply
    24,732.36x = 37,102.86 × 10,881
  4. Step 4: Simplify right side
    24,732.36x = 403,716,219.66
  5. Step 5: Solve for x
    x = 403,716,219.66/24,732.36
  6. Step 6: Final answer
    x = 16,323.40

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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.