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Finding the Fourth Proportional to 17,544, 26,328.96 and 8,310

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Solution

The fourth proportional to 17,544, 26,328.96 and 8,310 is: 12,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,544 : 26,328.96 = 8,310 : x
  2. Step 2: Convert to fraction form
    17,544/26,328.96 = 8,310/x
  3. Step 3: Cross multiply
    17,544x = 26,328.96 × 8,310
  4. Step 4: Simplify right side
    17,544x = 218,793,657.60
  5. Step 5: Solve for x
    x = 218,793,657.60/17,544
  6. Step 6: Final answer
    x = 12,471.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.