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Finding the Fourth Proportional to 18,563.56, 25,617.72 and 10,180

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Solution

The fourth proportional to 18,563.56, 25,617.72 and 10,180 is: 14,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,563.56 : 25,617.72 = 10,180 : x
  2. Step 2: Convert to fraction form
    18,563.56/25,617.72 = 10,180/x
  3. Step 3: Cross multiply
    18,563.56x = 25,617.72 × 10,180
  4. Step 4: Simplify right side
    18,563.56x = 260,788,389.60
  5. Step 5: Solve for x
    x = 260,788,389.60/18,563.56
  6. Step 6: Final answer
    x = 14,048.40

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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.