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Finding the Fourth Proportional to 24,791.08, 37,186.62 and 11,641

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Solution

The fourth proportional to 24,791.08, 37,186.62 and 11,641 is: 17,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,791.08 : 37,186.62 = 11,641 : x
  2. Step 2: Convert to fraction form
    24,791.08/37,186.62 = 11,641/x
  3. Step 3: Cross multiply
    24,791.08x = 37,186.62 × 11,641
  4. Step 4: Simplify right side
    24,791.08x = 432,889,443.42
  5. Step 5: Solve for x
    x = 432,889,443.42/24,791.08
  6. Step 6: Final answer
    x = 17,461.50

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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.