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Finding the Fourth Proportional to 24,741.36, 37,116.36 and 10,890

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Solution

The fourth proportional to 24,741.36, 37,116.36 and 10,890 is: 16,336.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,741.36 : 37,116.36 = 10,890 : x
  2. Step 2: Convert to fraction form
    24,741.36/37,116.36 = 10,890/x
  3. Step 3: Cross multiply
    24,741.36x = 37,116.36 × 10,890
  4. Step 4: Simplify right side
    24,741.36x = 404,197,160.40
  5. Step 5: Solve for x
    x = 404,197,160.40/24,741.36
  6. Step 6: Final answer
    x = 16,336.90

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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.