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Finding the Fourth Proportional to 27,496.58, 37,946.12 and 16,164

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Solution

The fourth proportional to 27,496.58, 37,946.12 and 16,164 is: 22,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,496.58 : 37,946.12 = 16,164 : x
  2. Step 2: Convert to fraction form
    27,496.58/37,946.12 = 16,164/x
  3. Step 3: Cross multiply
    27,496.58x = 37,946.12 × 16,164
  4. Step 4: Simplify right side
    27,496.58x = 613,361,002.86
  5. Step 5: Solve for x
    x = 613,361,002.86/27,496.58
  6. Step 6: Final answer
    x = 22,306.81

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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.