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Finding the Fourth Proportional to 27,685.50, 41,527.86 and 12,886.14

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Solution

The fourth proportional to 27,685.50, 41,527.86 and 12,886.14 is: 19,329.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685.50 : 41,527.86 = 12,886.14 : x
  2. Step 2: Convert to fraction form
    27,685.50/41,527.86 = 12,886.14/x
  3. Step 3: Cross multiply
    27,685.50x = 41,527.86 × 12,886.14
  4. Step 4: Simplify right side
    27,685.50x = 535,133,817.86
  5. Step 5: Solve for x
    x = 535,133,817.86/27,685.50
  6. Step 6: Final answer
    x = 19,329.03

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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.