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Finding the Fourth Proportional to 27,143.44, 37,458.05 and 17,712

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Solution

The fourth proportional to 27,143.44, 37,458.05 and 17,712 is: 24,442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,143.44 : 37,458.05 = 17,712 : x
  2. Step 2: Convert to fraction form
    27,143.44/37,458.05 = 17,712/x
  3. Step 3: Cross multiply
    27,143.44x = 37,458.05 × 17,712
  4. Step 4: Simplify right side
    27,143.44x = 663,456,893.04
  5. Step 5: Solve for x
    x = 663,456,893.04/27,143.44
  6. Step 6: Final answer
    x = 24,442.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.