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Finding the Fourth Proportional to 27,693.88, 41,526 and 12,909.76

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Solution

The fourth proportional to 27,693.88, 41,526 and 12,909.76 is: 19,357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,693.88 : 41,526 = 12,909.76 : x
  2. Step 2: Convert to fraction form
    27,693.88/41,526 = 12,909.76/x
  3. Step 3: Cross multiply
    27,693.88x = 41,526 × 12,909.76
  4. Step 4: Simplify right side
    27,693.88x = 536,090,693.76
  5. Step 5: Solve for x
    x = 536,090,693.76/27,693.88
  6. Step 6: Final answer
    x = 19,357.73

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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.