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Finding the Fourth Proportional to 17,670.82, 26,504.58 and 5,984.14

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Solution

The fourth proportional to 17,670.82, 26,504.58 and 5,984.14 is: 8,975.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670.82 : 26,504.58 = 5,984.14 : x
  2. Step 2: Convert to fraction form
    17,670.82/26,504.58 = 5,984.14/x
  3. Step 3: Cross multiply
    17,670.82x = 26,504.58 × 5,984.14
  4. Step 4: Simplify right side
    17,670.82x = 158,607,117.36
  5. Step 5: Solve for x
    x = 158,607,117.36/17,670.82
  6. Step 6: Final answer
    x = 8,975.65

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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.