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Finding the Fourth Proportional to 27,583.39, 41,342.68 and 12,761.00

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Solution

The fourth proportional to 27,583.39, 41,342.68 and 12,761.00 is: 19,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,583.39 : 41,342.68 = 12,761.00 : x
  2. Step 2: Convert to fraction form
    27,583.39/41,342.68 = 12,761.00/x
  3. Step 3: Cross multiply
    27,583.39x = 41,342.68 × 12,761.00
  4. Step 4: Simplify right side
    27,583.39x = 527,573,748.72
  5. Step 5: Solve for x
    x = 527,573,748.72/27,583.39
  6. Step 6: Final answer
    x = 19,126.50

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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.