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Finding the Fourth Proportional to 14,601.60, 21,863.52 and 12,852

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Solution

The fourth proportional to 14,601.60, 21,863.52 and 12,852 is: 19,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,601.60 : 21,863.52 = 12,852 : x
  2. Step 2: Convert to fraction form
    14,601.60/21,863.52 = 12,852/x
  3. Step 3: Cross multiply
    14,601.60x = 21,863.52 × 12,852
  4. Step 4: Simplify right side
    14,601.60x = 280,989,959.04
  5. Step 5: Solve for x
    x = 280,989,959.04/14,601.60
  6. Step 6: Final answer
    x = 19,243.78

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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.