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Finding the Fourth Proportional to 27,176.49, 37,503.94 and 16,419.86

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Solution

The fourth proportional to 27,176.49, 37,503.94 and 16,419.86 is: 22,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,176.49 : 37,503.94 = 16,419.86 : x
  2. Step 2: Convert to fraction form
    27,176.49/37,503.94 = 16,419.86/x
  3. Step 3: Cross multiply
    27,176.49x = 37,503.94 × 16,419.86
  4. Step 4: Simplify right side
    27,176.49x = 615,809,551.88
  5. Step 5: Solve for x
    x = 615,809,551.88/27,176.49
  6. Step 6: Final answer
    x = 22,659.64

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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.