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Finding the Fourth Proportional to 27,478.86, 37,922.30 and 17,403.60

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Solution

The fourth proportional to 27,478.86, 37,922.30 and 17,403.60 is: 24,017.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,478.86 : 37,922.30 = 17,403.60 : x
  2. Step 2: Convert to fraction form
    27,478.86/37,922.30 = 17,403.60/x
  3. Step 3: Cross multiply
    27,478.86x = 37,922.30 × 17,403.60
  4. Step 4: Simplify right side
    27,478.86x = 659,984,453.26
  5. Step 5: Solve for x
    x = 659,984,453.26/27,478.86
  6. Step 6: Final answer
    x = 24,017.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.