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Finding the Fourth Proportional to 27,543, 41,314.98 and 11,127

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Solution

The fourth proportional to 27,543, 41,314.98 and 11,127 is: 16,690.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,543 : 41,314.98 = 11,127 : x
  2. Step 2: Convert to fraction form
    27,543/41,314.98 = 11,127/x
  3. Step 3: Cross multiply
    27,543x = 41,314.98 × 11,127
  4. Step 4: Simplify right side
    27,543x = 459,711,782.46
  5. Step 5: Solve for x
    x = 459,711,782.46/27,543
  6. Step 6: Final answer
    x = 16,690.69

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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.