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Finding the Fourth Proportional to 14,364.41, 19,822.82 and 8,394.86

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Solution

The fourth proportional to 14,364.41, 19,822.82 and 8,394.86 is: 11,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364.41 : 19,822.82 = 8,394.86 : x
  2. Step 2: Convert to fraction form
    14,364.41/19,822.82 = 8,394.86/x
  3. Step 3: Cross multiply
    14,364.41x = 19,822.82 × 8,394.86
  4. Step 4: Simplify right side
    14,364.41x = 166,409,806.29
  5. Step 5: Solve for x
    x = 166,409,806.29/14,364.41
  6. Step 6: Final answer
    x = 11,584.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.