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Finding the Fourth Proportional to 18,544, 25,590.72 and 10,160.68

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Solution

The fourth proportional to 18,544, 25,590.72 and 10,160.68 is: 14,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,544 : 25,590.72 = 10,160.68 : x
  2. Step 2: Convert to fraction form
    18,544/25,590.72 = 10,160.68/x
  3. Step 3: Cross multiply
    18,544x = 25,590.72 × 10,160.68
  4. Step 4: Simplify right side
    18,544x = 260,019,116.89
  5. Step 5: Solve for x
    x = 260,019,116.89/18,544
  6. Step 6: Final answer
    x = 14,021.74

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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.