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Finding the Fourth Proportional to 18,580.50, 25,641.12 and 10,197

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Solution

The fourth proportional to 18,580.50, 25,641.12 and 10,197 is: 14,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,580.50 : 25,641.12 = 10,197 : x
  2. Step 2: Convert to fraction form
    18,580.50/25,641.12 = 10,197/x
  3. Step 3: Cross multiply
    18,580.50x = 25,641.12 × 10,197
  4. Step 4: Simplify right side
    18,580.50x = 261,462,500.64
  5. Step 5: Solve for x
    x = 261,462,500.64/18,580.50
  6. Step 6: Final answer
    x = 14,071.88

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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.