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Finding the Fourth Proportional to 18,564, 25,618.38 and 10,066.26

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Solution

The fourth proportional to 18,564, 25,618.38 and 10,066.26 is: 13,891.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564 : 25,618.38 = 10,066.26 : x
  2. Step 2: Convert to fraction form
    18,564/25,618.38 = 10,066.26/x
  3. Step 3: Cross multiply
    18,564x = 25,618.38 × 10,066.26
  4. Step 4: Simplify right side
    18,564x = 257,881,273.86
  5. Step 5: Solve for x
    x = 257,881,273.86/18,564
  6. Step 6: Final answer
    x = 13,891.47

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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.