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Finding the Fourth Proportional to 17,684.62, 26,534.02 and 6,440.74

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Solution

The fourth proportional to 17,684.62, 26,534.02 and 6,440.74 is: 9,663.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.62 : 26,534.02 = 6,440.74 : x
  2. Step 2: Convert to fraction form
    17,684.62/26,534.02 = 6,440.74/x
  3. Step 3: Cross multiply
    17,684.62x = 26,534.02 × 6,440.74
  4. Step 4: Simplify right side
    17,684.62x = 170,898,747.44
  5. Step 5: Solve for x
    x = 170,898,747.44/17,684.62
  6. Step 6: Final answer
    x = 9,663.69

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