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Finding the Fourth Proportional to 12,483.32, 18,714 and 5,911.40

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Solution

The fourth proportional to 12,483.32, 18,714 and 5,911.40 is: 8,861.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,483.32 : 18,714 = 5,911.40 : x
  2. Step 2: Convert to fraction form
    12,483.32/18,714 = 5,911.40/x
  3. Step 3: Cross multiply
    12,483.32x = 18,714 × 5,911.40
  4. Step 4: Simplify right side
    12,483.32x = 110,625,939.60
  5. Step 5: Solve for x
    x = 110,625,939.60/12,483.32
  6. Step 6: Final answer
    x = 8,861.90

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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.