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Finding the Fourth Proportional to 18,537.64, 25,583.80 and 10,581.08

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Solution

The fourth proportional to 18,537.64, 25,583.80 and 10,581.08 is: 14,602.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,537.64 : 25,583.80 = 10,581.08 : x
  2. Step 2: Convert to fraction form
    18,537.64/25,583.80 = 10,581.08/x
  3. Step 3: Cross multiply
    18,537.64x = 25,583.80 × 10,581.08
  4. Step 4: Simplify right side
    18,537.64x = 270,704,234.50
  5. Step 5: Solve for x
    x = 270,704,234.50/18,537.64
  6. Step 6: Final answer
    x = 14,602.95

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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.