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Finding the Fourth Proportional to 18,596.41, 27,894.76 and 6,909.63

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Solution

The fourth proportional to 18,596.41, 27,894.76 and 6,909.63 is: 10,364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,596.41 : 27,894.76 = 6,909.63 : x
  2. Step 2: Convert to fraction form
    18,596.41/27,894.76 = 6,909.63/x
  3. Step 3: Cross multiply
    18,596.41x = 27,894.76 × 6,909.63
  4. Step 4: Simplify right side
    18,596.41x = 192,742,470.54
  5. Step 5: Solve for x
    x = 192,742,470.54/18,596.41
  6. Step 6: Final answer
    x = 10,364.50

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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.