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Finding the Fourth Proportional to 17,604.68, 26,416.74 and 7,214

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Solution

The fourth proportional to 17,604.68, 26,416.74 and 7,214 is: 10,824.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,604.68 : 26,416.74 = 7,214 : x
  2. Step 2: Convert to fraction form
    17,604.68/26,416.74 = 7,214/x
  3. Step 3: Cross multiply
    17,604.68x = 26,416.74 × 7,214
  4. Step 4: Simplify right side
    17,604.68x = 190,570,362.36
  5. Step 5: Solve for x
    x = 190,570,362.36/17,604.68
  6. Step 6: Final answer
    x = 10,824.98

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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.