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Finding the Fourth Proportional to 30,586.85, 45,874.78 and 8,397.30

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Solution

The fourth proportional to 30,586.85, 45,874.78 and 8,397.30 is: 12,594.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,586.85 : 45,874.78 = 8,397.30 : x
  2. Step 2: Convert to fraction form
    30,586.85/45,874.78 = 8,397.30/x
  3. Step 3: Cross multiply
    30,586.85x = 45,874.78 × 8,397.30
  4. Step 4: Simplify right side
    30,586.85x = 385,224,290.09
  5. Step 5: Solve for x
    x = 385,224,290.09/30,586.85
  6. Step 6: Final answer
    x = 12,594.44

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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.