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Finding the Fourth Proportional to 17,946.40, 26,923.88 and 5,634.40

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Solution

The fourth proportional to 17,946.40, 26,923.88 and 5,634.40 is: 8,452.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,946.40 : 26,923.88 = 5,634.40 : x
  2. Step 2: Convert to fraction form
    17,946.40/26,923.88 = 5,634.40/x
  3. Step 3: Cross multiply
    17,946.40x = 26,923.88 × 5,634.40
  4. Step 4: Simplify right side
    17,946.40x = 151,699,909.47
  5. Step 5: Solve for x
    x = 151,699,909.47/17,946.40
  6. Step 6: Final answer
    x = 8,452.94

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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.