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Finding the Fourth Proportional to 18,564, 25,618.32 and 10,180.52

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Solution

The fourth proportional to 18,564, 25,618.32 and 10,180.52 is: 14,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564 : 25,618.32 = 10,180.52 : x
  2. Step 2: Convert to fraction form
    18,564/25,618.32 = 10,180.52/x
  3. Step 3: Cross multiply
    18,564x = 25,618.32 × 10,180.52
  4. Step 4: Simplify right side
    18,564x = 260,807,819.13
  5. Step 5: Solve for x
    x = 260,807,819.13/18,564
  6. Step 6: Final answer
    x = 14,049.12

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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.