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Finding the Fourth Proportional to 30,584.70, 45,869.13 and 8,392.86

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Solution

The fourth proportional to 30,584.70, 45,869.13 and 8,392.86 is: 12,587.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,584.70 : 45,869.13 = 8,392.86 : x
  2. Step 2: Convert to fraction form
    30,584.70/45,869.13 = 8,392.86/x
  3. Step 3: Cross multiply
    30,584.70x = 45,869.13 × 8,392.86
  4. Step 4: Simplify right side
    30,584.70x = 384,973,186.41
  5. Step 5: Solve for x
    x = 384,973,186.41/30,584.70
  6. Step 6: Final answer
    x = 12,587.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.